A Note On Gradient Estimate For The Equation Associated To The P Laplace Operator
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Release | : 2014 |
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Download A Note on Gradient Estimate for the Equation Associated to the P-Laplace Operator Book in PDF, Epub and Kindle
Author | : Diego Ricciotti |
Publisher | : Springer |
Total Pages | : 96 |
Release | : 2015-12-28 |
Genre | : Mathematics |
ISBN | : 331923790X |
Download p-Laplace Equation in the Heisenberg Group Book in PDF, Epub and Kindle
This works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg group. In particular, it presents detailed proofs of smoothness for solutions to the non-degenerate equation and of Lipschitz regularity for solutions to the degenerate one. An introductory chapter presents the basic properties of the Heisenberg group, making the coverage self-contained. The setting is the first Heisenberg group, helping to keep the notation simple and allow the reader to focus on the core of the theory and techniques in the field. Further, detailed proofs make the work accessible to students at the graduate level.
Author | : 牟柏丞 |
Publisher | : |
Total Pages | : |
Release | : 2017 |
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Download A Note on Gradient Estimate for P-Laplacian on Complete Manifolds Book in PDF, Epub and Kindle
Author | : Gary M. Lieberman |
Publisher | : World Scientific |
Total Pages | : 472 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 9789810228835 |
Download Second Order Parabolic Differential Equations Book in PDF, Epub and Kindle
Introduction. Maximum principles. Introduction to the theory of weak solutions. Hölder estimates. Existence, uniqueness, and regularity of solutions. Further theory of weak solutions. Strong solutions. Fixed point theorems and their applications. Comparison and maximum principles. Boundary gradient estimates. Global and local gradient bounds. Hölder gradient estimates and existence theorems. The oblique derivative problem for quasilinear parabolic equations. Fully nonlinear equations. Introduction. Monge-Ampère and Hessian equations.
Author | : Emmanuele DiBenedetto |
Publisher | : Springer Science & Business Media |
Total Pages | : 402 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461208955 |
Download Degenerate Parabolic Equations Book in PDF, Epub and Kindle
Evolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of the local structure of solutions of degenerate and singular parabolic partial differential equations.
Author | : Peter Lindqvist |
Publisher | : |
Total Pages | : 80 |
Release | : 2006 |
Genre | : Differential equations, Elliptic |
ISBN | : 9789513925864 |
Download Notes on the P-Laplace Equation Book in PDF, Epub and Kindle
Author | : Luis A. Caffarelli |
Publisher | : American Mathematical Soc. |
Total Pages | : 114 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 0821804375 |
Download Fully Nonlinear Elliptic Equations Book in PDF, Epub and Kindle
The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.
Author | : Vladimir Maz'ya |
Publisher | : Springer Science & Business Media |
Total Pages | : 615 |
Release | : 2008-10-13 |
Genre | : Mathematics |
ISBN | : 3540694927 |
Download Theory of Sobolev Multipliers Book in PDF, Epub and Kindle
The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.
Author | : Roland Herzog |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 386 |
Release | : 2022-03-07 |
Genre | : Mathematics |
ISBN | : 3110696002 |
Download Optimization and Control for Partial Differential Equations Book in PDF, Epub and Kindle
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.
Author | : Lars Diening |
Publisher | : Springer |
Total Pages | : 516 |
Release | : 2011-03-29 |
Genre | : Mathematics |
ISBN | : 3642183638 |
Download Lebesgue and Sobolev Spaces with Variable Exponents Book in PDF, Epub and Kindle
The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.