Uniqueness And Non Uniqueness In The Cauchy Problem For Degenerate Elliptic Operators

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Uniqueness And Non Uniqueness In The Cauchy Problem For Degenerate Elliptic Operators
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Author : Ferruccio Colombini
language : en
Publisher:
Release Date : 1990
Uniqueness And Non Uniqueness In The Cauchy Problem For Degenerate Elliptic Operators written by Ferruccio Colombini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Uniqueness Problems For Degenerating Equations And Nonclassical Problems
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Author : S. P. Shishatskii
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-10-15
Uniqueness Problems For Degenerating Equations And Nonclassical Problems written by S. P. Shishatskii and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-15 with Mathematics categories.
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Progress In Partial Differential Equations
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Author : Michael Reissig
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-30
Progress In Partial Differential Equations written by Michael Reissig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-30 with Mathematics categories.
Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)
Nonlinear Potential Theory Of Degenerate Elliptic Equations
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Author : Juha Heinonen
language : en
Publisher: Courier Dover Publications
Release Date : 2018-05-16
Nonlinear Potential Theory Of Degenerate Elliptic Equations written by Juha Heinonen and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Mathematics categories.
A self-contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings. The book concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.
Rendiconti Del Seminario Matematico Della Universit Di Padova
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Author : Università di Padova. Seminario matematico
language : en
Publisher:
Release Date : 1991
Rendiconti Del Seminario Matematico Della Universit Di Padova written by Università di Padova. Seminario matematico and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Approximation Methods And Analytical Modeling Using Partial Differential Equations
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Author : Tamara Fastovska
language : en
Publisher: Frontiers Media SA
Release Date : 2025-03-28
Approximation Methods And Analytical Modeling Using Partial Differential Equations written by Tamara Fastovska and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-28 with Science categories.
Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can be comprehensively analyzed by a broad spectrum of available mathematical methods. For example, compartmental models are widely used in mathematical epidemiology to describe the dynamics of infectious diseases and in mathematical models of population genetics. While the existence of an optimal solution under certain condition can be often proved rigorously, this does not always mean that such a solution is easy to implement in practice. Finding a reasonable approximation can in itself be a challenging research problem. This Research Topic is devoted to modeling, analysis, and approximation problems whose solutions exploit and explore the theory of partial differential equations. It aims to highlight new analytical tools for use in the modeling of problems arising in applied sciences and practical areas. Researchers are invited to submit articles that investigate the qualitative behavior of weak solutions (removability conditions for singularities), the dependence of the local asymptotic property of these solutions on initial and boundary data, and also the existence of solutions. Contributors are particularly encouraged to focus on anisotropic models: analyzing the preconditions on the strength of the anisotropy, and comparing the analytical estimates for the growth behavior of the solutions near the singularities with the observed growth in numerical simulations. The qualitative analysis and analytical results should be confirmed by the numerically observed solution behavior.
Tunneling Estimates And Approximate Controllability For Hypoelliptic Equations
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Author : Camille Laurent
language : en
Publisher: American Mathematical Society
Release Date : 2022-04-08
Tunneling Estimates And Approximate Controllability For Hypoelliptic Equations written by Camille Laurent and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-08 with Mathematics categories.
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Differential Geometry And Complex Analysis
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Author : I. Chavel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Differential Geometry And Complex Analysis written by I. Chavel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume is dedicated to the memory of Harry Ernest Rauch, who died suddenly on June 18, 1979. In organizing the volume we solicited: (i) articles summarizing Rauch's own work in differential geometry, complex analysis and theta functions (ii) articles which would give the reader an idea of the depth and breadth of Rauch's researches, interests, and influence, in the fields he investigated, and (iii) articles of high scientific quality which would be of general interest. In each of the areas to which Rauch made significant contribution - pinching theorems, teichmiiller theory, and theta functions as they apply to Riemann surfaces - there has been substantial progress. Our hope is that the volume conveys the originality of Rauch's own work, the continuing vitality of the fields he influenced, and the enduring respect for, and tribute to, him and his accom plishments in the mathematical community. Finally, it is a pleasure to thank the Department of Mathematics, of the Grad uate School of the City University of New York, for their logistical support, James Rauch who helped us with the biography, and Springer-Verlag for all their efforts in producing this volume. Isaac Chavel . Hershel M. Farkas Contents Harry Ernest Rauch - Biographical Sketch. . . . . . . . VII Bibliography of the Publications of H. E. Rauch. . . . . . X Ph.D. Theses Written under the Supervision of H. E. Rauch. XIII H. E. Rauch, Geometre Differentiel (by M. Berger) . . . . . . . .
Improperly Posed Problems In Partial Differential Equations
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Author : L. E. Payne
language : en
Publisher: SIAM
Release Date : 1975-06-01
Improperly Posed Problems In Partial Differential Equations written by L. E. Payne and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-06-01 with Mathematics categories.
A discussion of improperly posed Cauchy problems in partial differential equations
Nonlinear Analysis
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Author : Antonio Ambrosetti
language : en
Publisher:
Release Date : 1991
Nonlinear Analysis written by Antonio Ambrosetti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Differential equations, Nonlinear categories.