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Solutions Ramifiees Dequations Aux Derivees Partielles Non Lineaires
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Book Synopsis Analyse algébrique des perturbations singulières: Méthodes différentielles by : L. Boutet de Monvel
Download or read book Analyse algébrique des perturbations singulières: Méthodes différentielles written by L. Boutet de Monvel and published by Editions Hermann. This book was released on 1994 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Equations on Complex Manifolds by : Boris Sternin
Download or read book Differential Equations on Complex Manifolds written by Boris Sternin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph is devoted to the complex theory of differential equations. Not yet a handbook, neither a simple collection of articles, the book is a first attempt to present a more or less detailed exposition of a young but promising branch of mathematics, that is, the complex theory of partial differential equations. Let us try to describe the framework of this theory. First, simple examples show that solutions of differential equations are, as a rule, ramifying analytic functions. and, hence, are not regular near points of their ramification. Second, bearing in mind these important properties of solutions, we shall try to describe the method solving our problem. Surely, one has first to consider differential equations with constant coefficients. The apparatus solving such problems is well-known in the real the ory of differential equations: this is the Fourier transformation. Un fortunately, such a transformation had not yet been constructed for complex-analytic functions and the authors had to construct by them selves. This transformation is, of course, the key notion of the whole theory.
Book Synopsis Équations aux dérivées partielles by :
Download or read book Équations aux dérivées partielles written by and published by . This book was released on 1993 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Jean Leray ’99 Conference Proceedings by : Maurice de Gosson
Download or read book Jean Leray ’99 Conference Proceedings written by Maurice de Gosson and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented at the first conference held to honor the memory of, arguably, the greatest mathematician of the twentieth century, Jean Leray. Contributors from all over the world have submitted their work to be included in this unique collection, and it reflects the esteem in which Jean Leray was, and still is held. The book is divided into five parts: hyperbolic systems and equations; symplectic mechanics and geometry; sheaves and spectral sequences; elliptic operators and index theory; and mathematical physics. This volume will appeal to all those who acknowledge the value of Jean Leray's work in general, and students and researchers interested in analysis, topology and geometry, mathematical physics, classical mechanics and fluid mechanics and dynamics in particular.
Book Synopsis Partial Differential Equations and Mathematical Physics by : Kunihiko Kajitani
Download or read book Partial Differential Equations and Mathematical Physics written by Kunihiko Kajitani and published by Springer Science & Business Media. This book was released on 2002-12-13 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 17 invited research articles in this volume, all written by leading experts in their respective fields, are dedicated to the great French mathematician Jean Leray. A wide range of topics with significant new results---detailed proofs---are presented in the areas of partial differential equations, complex analysis, and mathematical physics. Key subjects are: * Treated from the mathematical physics viewpoint: nonlinear stability of an expanding universe, the compressible Euler equation, spin groups and the Leray--Maslov index, * Linked to the Cauchy problem: an intermediate case between effective hyperbolicity and the Levi condition, global Cauchy--Kowalewski theorem in some Gevrey classes, the analytic continuation of the solution, necessary conditions for hyperbolic systems, well posedness in the Gevrey class, uniformly diagonalizable systems and reduced dimension, and monodromy of ramified Cauchy problem. Additional articles examine results on: * Local solvability for a system of partial differential operators, * The hypoellipticity of second order operators, * Differential forms and Hodge theory on analytic spaces, * Subelliptic operators and sub- Riemannian geometry. Contributors: V. Ancona, R. Beals, A. Bove, R. Camales, Y. Choquet- Bruhat, F. Colombini, M. De Gosson, S. De Gosson, M. Di Flaviano, B. Gaveau, D. Gourdin, P. Greiner, Y. Hamada, K. Kajitani, M. Mechab, K. Mizohata, V. Moncrief, N. Nakazawa, T. Nishitani, Y. Ohya, T. Okaji, S. Ouchi, S. Spagnolo, J. Vaillant, C. Wagschal, S. Wakabayashi The book is suitable as a reference text for graduate students and active researchers.
Book Synopsis Annales Scientifiques de L'École Normale Supérieure by : École normale supérieure (France)
Download or read book Annales Scientifiques de L'École Normale Supérieure written by École normale supérieure (France) and published by . This book was released on 1987 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Annales de la faculté des sciences de Toulouse by :
Download or read book Annales de la faculté des sciences de Toulouse written by and published by . This book was released on 1999 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Les Équations linéaires aux dérivées partielles by :
Download or read book Les Équations linéaires aux dérivées partielles written by and published by . This book was released on 1973 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hyperbolic Equations and Related Topics by : Sigeru Mizohata
Download or read book Hyperbolic Equations and Related Topics written by Sigeru Mizohata and published by Academic Press. This book was released on 2014-05-10 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperbolic Equations and Related Topics covers the proceedings of the Taniguchi International Symposium, held in Katata, Japan on August 27-31, 1984 and in Kyoto, Japan on September 3-5, 1984. The book focuses on the mathematical analyses involved in hyperbolic equations. The selection first elaborates on complex vector fields; holomorphic extension of CR functions and related problems; second microlocalization and propagation of singularities for semi-linear hyperbolic equations; and scattering matrix for two convex obstacles. Discussions focus on the construction of asymptotic solutions, singular vector fields and Leibniz formula, second microlocalization along a Lagrangean submanifold, and hypo-analytic structures. The text then ponders on the Cauchy problem for effectively hyperbolic equations and for uniformly diagonalizable hyperbolic systems in Gevrey classes. The book takes a look at generalized Hamilton flows and singularities of solutions of the hyperbolic Cauchy problem and analytic and Gevrey well-posedness of the Cauchy problem for second order weakly hyperbolic equations with coefficients irregular in time. The selection is a dependable reference for researchers interested in hyperbolic equations.
Book Synopsis Linear Holomorphic Partial Differential Equations and Classical Potential Theory by : Dmitry Khavinson
Download or read book Linear Holomorphic Partial Differential Equations and Classical Potential Theory written by Dmitry Khavinson and published by American Mathematical Soc.. This book was released on 2018-07-09 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do solutions of linear analytic PDE suddenly break down? What is the source of these mysterious singularities, and how do they propagate? Is there a mean value property for harmonic functions in ellipsoids similar to that for balls? Is there a reflection principle for harmonic functions in higher dimensions similar to the Schwarz reflection principle in the plane? How far outside of their natural domains can solutions of the Dirichlet problem be extended? Where do the continued solutions become singular and why? This book invites graduate students and young analysts to explore these and many other intriguing questions that lead to beautiful results illustrating a nice interplay between parts of modern analysis and themes in “physical” mathematics of the nineteenth century. To make the book accessible to a wide audience including students, the authors do not assume expertise in the theory of holomorphic PDE, and most of the book is accessible to anyone familiar with multivariable calculus and some basics in complex analysis and differential equations.
Book Synopsis Colloque international C.N.R.S. sur les équations aux dérivées partielles linéaires by : Centre national de la recherche scientifique (France)
Download or read book Colloque international C.N.R.S. sur les équations aux dérivées partielles linéaires written by Centre national de la recherche scientifique (France) and published by . This book was released on 1973 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Developments in Hyperbolic Equations by : Lamberto Cattabriga
Download or read book Recent Developments in Hyperbolic Equations written by Lamberto Cattabriga and published by Longman Scientific and Technical. This book was released on 1988 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of Mathematical Sciences, the University of Tokyo by :
Download or read book Journal of Mathematical Sciences, the University of Tokyo written by and published by . This book was released on 2000 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations And Their Applications - Proceedings Of The Conference by : Luigi Rodino
Download or read book Partial Differential Equations And Their Applications - Proceedings Of The Conference written by Luigi Rodino and published by World Scientific. This book was released on 1999-11-26 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reports the recent progress in linear and nonlinear partial differential equations, microlocal analysis, singular partial differential operators, spectral analysis and hyperfunction theory.
Download or read book Journal written by Nihon Sūgakkai and published by . This book was released on 2003 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Problemi Attuali Dell'analisi E Della Fisica Matematica by :
Download or read book Problemi Attuali Dell'analisi E Della Fisica Matematica written by and published by . This book was released on 1993 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
