Boundary Value Problems With Free Boundaries For Elliptic Systems Of Equations

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Boundary-value Problems with Free Boundaries for Elliptic Systems of Equations

Author : Valentin Nikolaevich Monakhov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821898079
Total Pages : 540 pages
Book Rating : 4.8/5 (98 download)

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Book Synopsis Boundary-value Problems with Free Boundaries for Elliptic Systems of Equations by : Valentin Nikolaevich Monakhov

Download or read book Boundary-value Problems with Free Boundaries for Elliptic Systems of Equations written by Valentin Nikolaevich Monakhov and published by American Mathematical Soc.. This book was released on 1983 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with certain classes of nonlinear problems for elliptic systems of partial differential equations: boundary-value problems with free boundaries. The first part has to do with the general theory of boundary-value problems for analytic functions and its applications to hydrodynamics. The second presents the theory of quasiconformal mappings, along with the theory of boundary-value problems for elliptic systems of equations and applications of it to problems in the mechanics of continuous media with free boundaries: problems in subsonic gas dynamics, filtration theory, and problems in elastico-plasticity.

Boundary Value Problems for Elliptic Systems

Author : J. T. Wloka
Publisher : Cambridge University Press
ISBN 13 : 0521430119
Total Pages : 659 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Boundary Value Problems for Elliptic Systems by : J. T. Wloka

Download or read book Boundary Value Problems for Elliptic Systems written by J. T. Wloka and published by Cambridge University Press. This book was released on 1995-07-28 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.

Boundary Value Problems for Elliptic Equations and Systems

Author : Guo Chun Wen
Publisher : Chapman & Hall/CRC
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Boundary Value Problems for Elliptic Equations and Systems by : Guo Chun Wen

Download or read book Boundary Value Problems for Elliptic Equations and Systems written by Guo Chun Wen and published by Chapman & Hall/CRC. This book was released on 1990 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph mainly deals with several boundary value problems for linear and nonlinear elliptic equations and systems by using function theoretic methods. The established theory is systematic, the considered equations and systems, boundary conditions and domains are rather general. Various methods are used. As an application, the existence of nonlinear quasiconformal mappings onto canonical domains is proved.

Boundary Value Problems For Second Order Elliptic Equations

Author : A.V. Bitsadze
Publisher : Elsevier
ISBN 13 : 0323162266
Total Pages : 212 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Boundary Value Problems For Second Order Elliptic Equations by : A.V. Bitsadze

Download or read book Boundary Value Problems For Second Order Elliptic Equations written by A.V. Bitsadze and published by Elsevier. This book was released on 2012-12-02 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.

Elliptic Equations in Polyhedral Domains

Author : V. G. Maz_i_a
Publisher : American Mathematical Soc.
ISBN 13 : 0821849832
Total Pages : 618 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Elliptic Equations in Polyhedral Domains by : V. G. Maz_i_a

Download or read book Elliptic Equations in Polyhedral Domains written by V. G. Maz_i_a and published by American Mathematical Soc.. This book was released on 2010-04-22 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph which systematically treats elliptic boundary value problems in domains of polyhedral type. The authors mainly describe their own recent results focusing on the Dirichlet problem for linear strongly elliptic systems of arbitrary order, Neumann and mixed boundary value problems for second order systems, and on boundary value problems for the stationary Stokes and Navier-Stokes systems. A feature of the book is the systematic use of Green's matrices. Using estimates for the elements of these matrices, the authors obtain solvability and regularity theorems for the solutions in weighted and non-weighted Sobolev and Holder spaces. Some classical problems of mathematical physics (Laplace and biharmonic equations, Lame system) are considered as examples. Furthermore, the book contains maximum modulus estimates for the solutions and their derivatives. The exposition is self-contained, and an introductory chapter provides background material on the theory of elliptic boundary value problems in domains with smooth boundaries and in domains with conical points. The book is destined for graduate students and researchers working in elliptic partial differential equations and applications.

Nonlinear Elliptic Boundary Value Problems and Their Applications

Author : H Begehr
Publisher : CRC Press
ISBN 13 : 9780582292048
Total Pages : 282 pages
Book Rating : 4.2/5 (92 download)

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Book Synopsis Nonlinear Elliptic Boundary Value Problems and Their Applications by : H Begehr

Download or read book Nonlinear Elliptic Boundary Value Problems and Their Applications written by H Begehr and published by CRC Press. This book was released on 1996-05-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Strongly Elliptic Systems and Boundary Integral Equations

Author : William Charles Hector McLean
Publisher : Cambridge University Press
ISBN 13 : 9780521663755
Total Pages : 376 pages
Book Rating : 4.6/5 (637 download)

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Book Synopsis Strongly Elliptic Systems and Boundary Integral Equations by : William Charles Hector McLean

Download or read book Strongly Elliptic Systems and Boundary Integral Equations written by William Charles Hector McLean and published by Cambridge University Press. This book was released on 2000-01-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.

Integral Equations And Boundary Value Problems - Proceedings Of The International Conference

Author : Guo Chun Wen
Publisher : #N/A
ISBN 13 : 9814569534
Total Pages : 304 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Integral Equations And Boundary Value Problems - Proceedings Of The International Conference by : Guo Chun Wen

Download or read book Integral Equations And Boundary Value Problems - Proceedings Of The International Conference written by Guo Chun Wen and published by #N/A. This book was released on 1991-03-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.

Nonlinear Partial Differential Equations and Free Boundaries: Elliptic equations

Author : J. I. Díaz
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (41 download)

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Book Synopsis Nonlinear Partial Differential Equations and Free Boundaries: Elliptic equations by : J. I. Díaz

Download or read book Nonlinear Partial Differential Equations and Free Boundaries: Elliptic equations written by J. I. Díaz and published by . This book was released on 1985 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this Research Note the author brings together the body of known work and presents many recent results relating to nonlinear partial differential equations that give rise to a free boundary--usually the boundary of the set where the solution vanishes identically. The formation of such a boundary depends on an adequate balance between two of the terms of the equation that represent the particular characteristics of the phenomenon under consideration: diffusion, absorption, convection, evolution etc. These balances do not occur in the case of a linear equation or an arbitrary nonlinear equation. Their characterization is studied for several classes of nonlinear equations relating to applications such as chemical reactions, non-Newtonian fluids, flow through porous media and biological populations. In this first volume, the free boundary for nonlinear elliptic equations is discussed. A second volume dealing with parabolic and hyperbolic equations is in preparation.

Elliptic Systems in the Plane

Author : Wolfgang L. Wendland
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Elliptic Systems in the Plane by : Wolfgang L. Wendland

Download or read book Elliptic Systems in the Plane written by Wolfgang L. Wendland and published by Pitman Publishing. This book was released on 1979 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elliptic Problems in Nonsmooth Domains

Author : Pierre Grisvard
Publisher : SIAM
ISBN 13 : 1611972027
Total Pages : 426 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Elliptic Problems in Nonsmooth Domains by : Pierre Grisvard

Download or read book Elliptic Problems in Nonsmooth Domains written by Pierre Grisvard and published by SIAM. This book was released on 2011-10-20 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Boston: Pitman Advanced Pub. Program, 1985.

Boundary Value Problems Governed by Second Order Elliptic Systems

Author : David L. Clements
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Boundary Value Problems Governed by Second Order Elliptic Systems by : David L. Clements

Download or read book Boundary Value Problems Governed by Second Order Elliptic Systems written by David L. Clements and published by Pitman Advanced Publishing Program. This book was released on 1981 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Value Problems, Integral Equations and Related Problems

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9814327867
Total Pages : 436 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Boundary Value Problems, Integral Equations and Related Problems by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations and Related Problems written by Guo Chun Wen and published by World Scientific. This book was released on 2011 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, and others.

Elliptic Boundary Value Problems in Domains with Point Singularities

Author : V. A. Kozlov
Publisher : American Mathematical Soc.
ISBN 13 : 0821807544
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Elliptic Boundary Value Problems in Domains with Point Singularities by : V. A. Kozlov

Download or read book Elliptic Boundary Value Problems in Domains with Point Singularities written by V. A. Kozlov and published by American Mathematical Soc.. This book was released on 1997 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: For graduate students and research mathematicians interested in partial differential equations and who have a basic knowledge of functional analysis. Restricted to boundary value problems formed by differential operators, avoiding the use of pseudo- differential operators. Concentrates on fundamental results such as estimates for solutions in different function spaces, the Fredholm property of the problem's operator, regularity assertions, and asymptotic formulas for the solutions of near singular points. Considers the solutions in Sobolev spaces of both positive and negative orders. Annotation copyrighted by Book News, Inc., Portland, OR

Boundary Value Problems, Integral Equations and Related Problems

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 981451831X
Total Pages : 436 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Boundary Value Problems, Integral Equations and Related Problems by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations and Related Problems written by Guo Chun Wen and published by World Scientific. This book was released on 2010-12-21 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, etc. Contents:Boundary Value Problems of Partial and Ordinary Differential EquationInverse Problems in Mathematical Physics, Engineering and FinanceGeometry Function Theory and Nonlinear AnalysisClifford Analysis and Quaternion AnalysisTheory and Applications of Integral EquationsNumerical Analysis of Differential and Integral EquationsPotential Theory and Other Problems Readership: Researchers in analysis and differential equations. Keywords:Various Boundary Value Problems;Integral Equations and Integral Operators;Applications to Mechanics and Physics;Numerical Methods;Inverse Problems;Clifford AnalysisKey Features:Many cutting-edge results in the field are discussed

Boundary Value Problems in Mechanics of Nonhomogeneous Fluids

Author : S.N. Antontsev
Publisher : Elsevier
ISBN 13 : 9780080875439
Total Pages : 308 pages
Book Rating : 4.8/5 (754 download)

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Book Synopsis Boundary Value Problems in Mechanics of Nonhomogeneous Fluids by : S.N. Antontsev

Download or read book Boundary Value Problems in Mechanics of Nonhomogeneous Fluids written by S.N. Antontsev and published by Elsevier. This book was released on 1989-12-18 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to report the results of investigations made by the authors into certain hydrodynamical models with nonlinear systems of partial differential equations. The investigations involve the results concerning Navier-Stokes equations of viscous heat-conductive gas, incompressible nonhomogeneous fluid and filtration of multi-phase mixture in a porous medium. The correctness of the initial boundary-value problems and the qualitative properties of solutions are also considered. The book is written for those who are interested in the theory of nonlinear partial differential equations and their applications in mechanics.

Integral Equations, Boundary Value Problems and Related Problems

Author : Xing Li
Publisher : World Scientific
ISBN 13 : 9814452890
Total Pages : 300 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Integral Equations, Boundary Value Problems and Related Problems by : Xing Li

Download or read book Integral Equations, Boundary Value Problems and Related Problems written by Xing Li and published by World Scientific. This book was released on 2013-03-07 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contents:Some Properties of a Kind of Singular Integral Operator for K-Monogenic Function in Clifford Analysis (L P Wang, Z L Xu and Y Y Qiao)Some Results Related with Möbius Transformation in Clifford Analysis (Z X Zhang)The Scattering of SH Wave on the Array of Periodic Cracks in a Piezoelectric Substrate Bonded a Half-Plane of Functionally Graded Materials (J Q Liu, X Li, S Z Dong, X Y Yao and C F Wang)Anti-Plane Problem of Two Collinear Cracks in a Functionally Graded Coating–Substrate Structure (S H Ding and X Li)A Kind of Riemann Boundary Value Problem for Triharmonic Functions in Clifford Analysis (L F Gu)A New Dynamical Systems Method for Nonlinear Operator Equations (X J Luo, F C Li and S H Yang)A Class of Integral Inequality and Application (W S Wang)An Efficient Spectral Boundary Integral Equation Method for the Simulation of Earthquake Rupture Problems (W S Wang and B W Zhang)High-Frequency Asymptotics for the Modified Helmholtz Equation in a Half-Plane (H M Huang)An Inverse Boundary Value Problem Involving Filtration for Elliptic Systems of Equations (Z L Xu and L Yan)Fixed Point Theorems of Contractive Mappings in Extended Cone Metric Spaces (H P Huang and X Li)Positive Solutions of Singular Third-Order Three-Point Boundary Value Problems (B Q Yan and X Liu)Modified Neumann Integral and Asymptotic Behavior in the Half-Space (Y H Zhang, G T Deng and Z Z Wei)Piecewise Tikhonov Regularization Scheme to Reconstruct Discontinuous Density in Computerized Tomography (J Cheng, Y Jiang, K Lin and J W Yan)About the Quaternionic Jacobian Conjecture (H Liu)Interaction Between Antiplane Circular Inclusion and Circular Hole of Piezoelectric Materials (L H Chang and X Li)Convergence of Numerical Algorithm for Coupled Heat and Mass Transfer in Textile Materials (M B Ge, J X Cheng and D H Xu)Haversian Cortical Bone with a Radial Microcrack (X Wang)Spectra of Unitary Integral Operators on L2(ℝ) with Kernels k(xy) (D W Ma and G Chen)The Numerical Simulation of Long-Period Ground Motion on Basin Effects (Y Q Li and X Li)Complete Plane Strain Problem of a One-Dimensional Hexagonal Quasicrystals with a Doubly-Periodic Set of Cracks (X Li and P P Shi)The Problem About an Elliptic Hole with III Asymmetry Cracks in One-Dimensional Hexagonal Piezoelectric Quasicrystals (H S Huo and X Li)The Second Fundamental Problem of Periodic Plane Elasticity of a One-Dimensional Hexagonal Quasicrystals (J Y Cui, P P Shi and X Li)The Optimal Convex Combination Bounds for the Centroidal Mean (H Liu and X J Meng)The Method of Fundamental Solution for a Class of Elliptical Partial Differential Equations with Coordinate Transformation and Image Technique (L N Wu and Q Jiang)Various Wavelet Methods for Solving Fractional Fredholm–Volterra Integral Equations (P P Shi, X Li and X Li) Readership: Researchers in analysis and differential equations. Keywords:Integral Equations;Boundary Value ProblemsKey Features:Provides new research progress on these topics