Singularities of Solutions of Second-Order Quasilinear Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singularities of Solutions of Second-Order Quasilinear Equations write by Laurent Veron. This book was released on 1996-08-01. Singularities of Solutions of Second-Order Quasilinear Equations available in PDF, EPUB and Kindle. This text examines the singularity problem for solutions of elliptic and parabolic quasilinear equations of second order.
Singular Solutions of Nonlinear Elliptic and Parabolic Equations
Singular Solutions of Nonlinear Elliptic and Parabolic Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular Solutions of Nonlinear Elliptic and Parabolic Equations write by Alexander A. Kovalevsky. This book was released on 2016-03-21. Singular Solutions of Nonlinear Elliptic and Parabolic Equations available in PDF, EPUB and Kindle. This monograph looks at several trends in the investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions for elliptic second-order equations and some classes of fourth-order equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations in divergence form. It looks at localized and nonlocalized singularly peaking boundary regimes for different classes of quasilinear parabolic second- and high-order equations in divergence form. The book will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis. Contents: Foreword Part I: Nonlinear elliptic equations with L^1-data Nonlinear elliptic equations of the second order with L^1-data Nonlinear equations of the fourth order with strengthened coercivity and L^1-data Part II: Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second order Removability of singularities of the solutions of quasilinear elliptic equations Removability of singularities of the solutions of quasilinear parabolic equations Quasilinear elliptic equations with coefficients from the Kato class Part III: Boundary regimes with peaking for quasilinear parabolic equations Energy methods for the investigation of localized regimes with peaking for parabolic second-order equations Method of functional inequalities in peaking regimes for parabolic equations of higher orders Nonlocalized regimes with singular peaking Appendix: Formulations and proofs of the auxiliary results Bibliography
Linear and Quasi-linear Equations of Parabolic Type
Linear and Quasi-linear Equations of Parabolic Type - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear and Quasi-linear Equations of Parabolic Type write by Olʹga A. Ladyženskaja. This book was released on 1988. Linear and Quasi-linear Equations of Parabolic Type available in PDF, EPUB and Kindle. Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.
Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points
Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points write by . This book was released on 2013. Existence of Solutions of Quasilinear Elliptic Equations on Manifolds with Conic Points available in PDF, EPUB and Kindle. Existence and regularity of solutions of quasilinear elliptic equations in nonsmooth domains have been interesting topics in the development of partial differential equations. The existence of finite-energy solutions of higher-order equations, also those with degenerations and singularities, can be shown by theories of monotone operators and topological methods. There are few results about singular solutions of second-order equations involving the p-Laplacian with the Dirac distribution on the right-hand side. So far the existence of singular solutions of higher-order equations with a presc...
Nonlinear Second Order Elliptic Equations Involving Measures
Nonlinear Second Order Elliptic Equations Involving Measures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Second Order Elliptic Equations Involving Measures write by Moshe Marcus. This book was released on 2013-11-27. Nonlinear Second Order Elliptic Equations Involving Measures available in PDF, EPUB and Kindle. In the last 40 years semi-linear elliptic equations became a central subject of study in the theory of nonlinear partial differential equations. On the one hand, the interest in this area is of a theoretical nature, due to its deep relations to other branches of mathematics, especially linear and nonlinear harmonic analysis, dynamical systems, differential geometry and probability. On the other hand, this study is of interest because of its applications. Equations of this type come up in various areas such as problems of physics and astrophysics, curvature problems in Riemannian geometry, logistic problems related for instance to population models and, most importantly, the study of branching processes and superdiffusions in the theory of probability. The aim of this book is to present a comprehensive study of boundary value problems for linear and semi-linear second order elliptic equations with measure data. We are particularly interested in semi-linear equations with absorption. The interactions between the diffusion operator and the absorption term give rise to a large class of nonlinear phenomena in the study of which singularities and boundary trace play a central role. This book is accessible to graduate students and researchers with a background in real analysis and partial differential equations.
