Notes On The Stationary P Laplace Equation
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Author | : Peter Lindqvist |
Publisher | : Springer |
Total Pages | : 104 |
Release | : 2019-04-26 |
Genre | : Mathematics |
ISBN | : 3030145018 |
Download Notes on the Stationary p-Laplace Equation Book in PDF, Epub and Kindle
This book in the BCAM SpringerBriefs series is a treatise on the p-Laplace equation. It is based on lectures by the author that were originally delivered at the Summer School in Jyväskylä, Finland, in August 2005 and have since been updated and extended to cover various new topics, including viscosity solutions and asymptotic mean values. The p-Laplace equation is a far-reaching generalization of the ordinary Laplace equation, but it is non-linear and degenerate (p>2) or singular (p2). Thus it requires advanced methods. Many fascinating properties of the Laplace equation are, in some modified version, extended to the p-Laplace equation. Nowadays the theory is almost complete, although some challenging problems remain open./pbrp
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 | : 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 | : |
Publisher | : |
Total Pages | : |
Release | : 2014 |
Genre | : |
ISBN | : |
Download A Note on Gradient Estimate for the Equation Associated to the P-Laplace Operator Book in PDF, Epub and Kindle
Author | : Peter Lindqvist |
Publisher | : Springer |
Total Pages | : 73 |
Release | : 2016-05-25 |
Genre | : Mathematics |
ISBN | : 3319315323 |
Download Notes on the Infinity Laplace Equation Book in PDF, Epub and Kindle
This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. The Infinity-Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications to image processing and to mass transfer problems, and it provides optimal Lipschitz extensions of boundary values.
Author | : Luis Angel Caffarelli |
Publisher | : Edizioni della Normale |
Total Pages | : 0 |
Release | : 1999-10-01 |
Genre | : Mathematics |
ISBN | : 9788876422492 |
Download The obstacle problem Book in PDF, Epub and Kindle
The material presented here corresponds to Fermi lectures that I was invited to deliver at the Scuola Normale di Pisa in the spring of 1998. The obstacle problem consists in studying the properties of minimizers of the Dirichlet integral in a domain D of Rn, among all those configurations u with prescribed boundary values and costrained to remain in D above a prescribed obstacle F. In the Hilbert space H1(D) of all those functions with square integrable gradient, we consider the closed convex set K of functions u with fixed boundary value and which are greater than F in D. There is a unique point in K minimizing the Dirichlet integral. That is called the solution to the obstacle problem.
Author | : Steven Rosenberg |
Publisher | : Cambridge University Press |
Total Pages | : 190 |
Release | : 1997-01-09 |
Genre | : Mathematics |
ISBN | : 9780521468312 |
Download The Laplacian on a Riemannian Manifold Book in PDF, Epub and Kindle
This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.
Author | : Shuji Machihara |
Publisher | : Springer Nature |
Total Pages | : 413 |
Release | : |
Genre | : |
ISBN | : 9819703646 |
Download Mathematical Physics and Its Interactions Book in PDF, Epub and Kindle
Author | : Juha Kinnunen |
Publisher | : American Mathematical Soc. |
Total Pages | : 354 |
Release | : 2021-08-02 |
Genre | : Education |
ISBN | : 1470465752 |
Download Maximal Function Methods for Sobolev Spaces Book in PDF, Epub and Kindle
This book discusses advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations. Capacities are needed for fine properties of Sobolev functions and characterization of Sobolev spaces with zero boundary values. The authors consider several uniform quantitative conditions that are self-improving, such as Hardy's inequalities, capacity density conditions, and reverse Hölder inequalities. They also study Muckenhoupt weight properties of distance functions and combine these with weighted norm inequalities; notions of dimension are then used to characterize density conditions and to give sufficient and necessary conditions for Hardy's inequalities. At the end of the book, the theory of weak solutions to the p p-Laplace equation and the use of maximal function techniques is this context are discussed. The book is directed to researchers and graduate students interested in applications of geometric and harmonic analysis in Sobolev spaces and partial differential equations.
Author | : P.P.G. Dyke |
Publisher | : Springer Science & Business Media |
Total Pages | : 257 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1447105052 |
Download An Introduction to Laplace Transforms and Fourier Series Book in PDF, Epub and Kindle
This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.