Second Order Parabolic Equations with Venttsel Initial Boundary Conditions and Their Equations

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Publisher :
ISBN 13 : 9780864443090
Total Pages : 15 pages
Book Rating : 4.4/5 (43 download)

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Book Synopsis Second Order Parabolic Equations with Venttsel Initial Boundary Conditions and Their Equations by : Yi Zeng

Download or read book Second Order Parabolic Equations with Venttsel Initial Boundary Conditions and Their Equations written by Yi Zeng and published by . This book was released on 1993 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Second Order Parabolic Equations with Venttsel Boundary Conditions

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Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (221 download)

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Book Synopsis Second Order Parabolic Equations with Venttsel Boundary Conditions by : Zeng Yi

Download or read book Second Order Parabolic Equations with Venttsel Boundary Conditions written by Zeng Yi and published by . This book was released on 1993 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Exponential Function Approach To Parabolic Equations

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Publisher : World Scientific
ISBN 13 : 9814616400
Total Pages : 174 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis An Exponential Function Approach To Parabolic Equations by : Chin-yuan Lin

Download or read book An Exponential Function Approach To Parabolic Equations written by Chin-yuan Lin and published by World Scientific. This book was released on 2014-08-08 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is on initial-boundary value problems for parabolic partial differential equations of second order. It rewrites the problems as abstract Cauchy problems or evolution equations, and then solves them by the technique of elementary difference equations. Because of this, the volume assumes less background and provides an easy approach for readers to understand.

Qualitative Theory of Parabolic Equations, Part 1

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Publisher : Walter de Gruyter
ISBN 13 : 311093504X
Total Pages : 425 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Qualitative Theory of Parabolic Equations, Part 1 by : T. I. Zelenyak

Download or read book Qualitative Theory of Parabolic Equations, Part 1 written by T. I. Zelenyak and published by Walter de Gruyter. This book was released on 2011-09-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the qualitative theory of ordinary differential equations, the Liapunov method plays a fundamental role. To use their analogs for the analysis of stability of solutions to parabolic, hyperparabolic, and other nonclassical equations and systems, time-invariant a priori estimates have to be devised for solutions. In this publication only parabolic problems are considered. Here lie, mainly, the problems which have been investigated most thoroughly --- the construction of Liapunov functionals which naturally generalize Liapunov functions for nonlinear parabolic equations of the second order with one spatial variable. The authors establish stabilizing solutions theorems, and the necessary and sufficient conditions of general and asymptotic stability of stationary solutions, including the so-called critical case. Attraction domains for stable solutions of mixed problems for these equations are described. Furthermore, estimates for the number of stationary solutions are obtained.

Parabolic Equations with Irregular Data and Related Issues

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110633140
Total Pages : 264 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Parabolic Equations with Irregular Data and Related Issues by : Claude Le Bris

Download or read book Parabolic Equations with Irregular Data and Related Issues written by Claude Le Bris and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-17 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.

Parabolic Equations on an Infinite Strip

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Publisher : Routledge
ISBN 13 : 1351425900
Total Pages : 312 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Parabolic Equations on an Infinite Strip by : Watson

Download or read book Parabolic Equations on an Infinite Strip written by Watson and published by Routledge. This book was released on 2017-10-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on solutions of second order, linear, parabolic, partial differentialequations on an infinite strip-emphasizing their integral representation, their initialvalues in several senses, and the relations between these.Parabolic Equations on an Infinite Strip provides valuable information-previously unavailable in a single volume-on such topics as semigroup property.. . the Cauchy problem ... Gauss-Weierstrass representation . .. initial limits .. .normal limits and related representation theorems ... hyperplane conditions .. .determination of the initial measure .. . and the maximum principle. It also exploresnew, unpublished results on parabolic limits . . . more general limits ... and solutionssatisfying LP conditions.Requiring only a fundamental knowledge of general analysis and measure theory, thisbook serves as an excellent text for graduate students studying partial differentialequations and harmonic analysis, as well as a useful reference for analysts interested inapplied measure theory, and specialists in partial differential equations.

The First Initial-boundary Value Problem for Quasilinear Second Order Parabolic Equations

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Publisher :
ISBN 13 :
Total Pages : 53 pages
Book Rating : 4.:/5 (217 download)

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Book Synopsis The First Initial-boundary Value Problem for Quasilinear Second Order Parabolic Equations by : Gary M. Lieberman

Download or read book The First Initial-boundary Value Problem for Quasilinear Second Order Parabolic Equations written by Gary M. Lieberman and published by . This book was released on 1984 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications

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Publisher : CRC Press
ISBN 13 : 1135436266
Total Pages : 383 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications by : Victor A. Galaktionov

Download or read book Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications written by Victor A. Galaktionov and published by CRC Press. This book was released on 2004-05-24 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Pólya in the 1930's and rediscovered in part several times since, it was not until the 1980's that the Sturmian argument for PDEs began to penetrate into the theory of parabolic equations and was found to have several fundamental applications. Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications focuses on geometric aspects of the intersection comparison for nonlinear models creating finite-time singularities. After introducing the original Sturm zero set results for linear parabolic equations and the basic concepts of geometric analysis, the author presents the main concepts and regularity results of the geometric intersection theory (G-theory). Here he considers the general singular equation and presents the geometric notions related to the regularity and interface propagation of solutions. In the general setting, the author describes the main aspects of the ODE-PDE duality, proves existence and nonexistence theorems, establishes uniqueness and optimal Bernstein-type estimates, and derives interface equations, including higher-order equations. The final two chapters explore some special aspects of discontinuous and continuous limit semigroups generated by singular parabolic equations. Much of the information presented here has never before been published in book form. Readable and self-contained, this book forms a unique and outstanding reference on second-order parabolic PDEs used as models for a wide range of physical problems.

Blow-up Theories for Semilinear Parabolic Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642184596
Total Pages : 137 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Blow-up Theories for Semilinear Parabolic Equations by : Bei Hu

Download or read book Blow-up Theories for Semilinear Parabolic Equations written by Bei Hu and published by Springer Science & Business Media. This book was released on 2011-03-23 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.

Nonlocal and Abstract Parabolic Equations and Their Applications

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Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlocal and Abstract Parabolic Equations and Their Applications by : Piotr Mucha

Download or read book Nonlocal and Abstract Parabolic Equations and Their Applications written by Piotr Mucha and published by . This book was released on 2009 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Explicit Numerical Solution of Parabolic Differential Equations

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ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Explicit Numerical Solution of Parabolic Differential Equations by : D. W. Burton

Download or read book Explicit Numerical Solution of Parabolic Differential Equations written by D. W. Burton and published by . This book was released on 1957 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Space-Time Methods

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110548488
Total Pages : 261 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Space-Time Methods by : Ulrich Langer

Download or read book Space-Time Methods written by Ulrich Langer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-09-23 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.

Linear and Quasilinear Parabolic Systems: Sobolev Space Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470461617
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear and Quasilinear Parabolic Systems: Sobolev Space Theory by : David Hoff

Download or read book Linear and Quasilinear Parabolic Systems: Sobolev Space Theory written by David Hoff and published by American Mathematical Soc.. This book was released on 2020-11-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.

Control of Degenerate and Singular Parabolic Equations

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Publisher : Springer Nature
ISBN 13 : 303069349X
Total Pages : 105 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Control of Degenerate and Singular Parabolic Equations by : Genni Fragnelli

Download or read book Control of Degenerate and Singular Parabolic Equations written by Genni Fragnelli and published by Springer Nature. This book was released on 2021-04-06 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects some basic results on the null controllability for degenerate and singular parabolic problems. It aims to provide postgraduate students and senior researchers with a useful text, where they can find the desired statements and the related bibliography. For these reasons, the authors will not give all the detailed proofs of the given theorems, but just some of them, in order to show the underlying strategy in this area.

Second Order Parabolic Equations with Non-local Boundary Conditions on L∞(Ω) and C(Ω̅): Generation, Regularity and Asymptotics

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (118 download)

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Book Synopsis Second Order Parabolic Equations with Non-local Boundary Conditions on L∞(Ω) and C(Ω̅): Generation, Regularity and Asymptotics by : Stefan Kunkel

Download or read book Second Order Parabolic Equations with Non-local Boundary Conditions on L∞(Ω) and C(Ω̅): Generation, Regularity and Asymptotics written by Stefan Kunkel and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

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Publisher : CRC Press
ISBN 13 : 1482251736
Total Pages : 565 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations by : Victor A. Galaktionov

Download or read book Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations written by Victor A. Galaktionov and published by CRC Press. This book was released on 2014-09-22 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book

Superlinear Parabolic Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3764384425
Total Pages : 593 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Superlinear Parabolic Problems by : Pavol Quittner

Download or read book Superlinear Parabolic Problems written by Pavol Quittner and published by Springer Science & Business Media. This book was released on 2007-12-16 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The book is self-contained and up-to-date, taking special care on the didactical preparation of the material. It is devoted to problems that are intensively studied but have not been treated thus far in depth in the book literature.