Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 145
Book Description
NONLINEAR EVOLUTION EQUATIONS AND POTENTIAL THEORY. LECTURES OF A SUMMER SCHOOL AT PODHRADI NEAR LEDEC ON SAZAVA, CZECHOSLOVAKIA, SEPTEMBER, 1973. ED. JOSEF KRAL.
Author: Nonlinear Evolution Equations and Potential
Author: Josef KrálNonlinear Evolution Equations and Potential Theory
Author: J. KralPublisher: Springer Science & Business Media
ISBN: 1461344255
Category : Mathematics
Languages : en
Pages : 138
Book Description
Preface.- Gottfried Anger: Direct and inverse problems in potential theory.- Viorel Barbu: Regularity results for sane differential equations associated with maximal monotone operators in Hilbert spaces.- Haim Brezis: Classes d'interpolation associées à un opérateur monotone et applications.- Siegfried Dnümmel: On inverse problems for k-dimensional potentials.- Jozef Ka?ur: Application of Rothe's method to nonlinear parabolic boundary value problems.- Josef Král: Potentials and removability of singularities.- Vladimir Lovicar: Theorem of Fréchet and asymptotically almost periodid solutions of.
Nonlinear Evolution Equations and Potential Theory
Author: Nonlinear Evolutions and Potential Theory
Author: Josef KralNonlinear Evolution Equations and Potential Theory
Author: J. KralPublisher:
ISBN: 9781461344261
Category :
Languages : en
Pages : 148
Book Description
Lectures on Nonlinear Evolution Equations
Author: Reinhard RackePublisher: Birkhäuser
ISBN: 3319218735
Category : Mathematics
Languages : en
Pages : 315
Book Description
This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.
Potential Theory
Author: Josef KralPublisher: Springer Science & Business Media
ISBN: 1461309816
Category : Mathematics
Languages : en
Pages : 352
Book Description
Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The Conference was organized by the Faculty of Mathematics and Physics, Charles University, with the collaboration of the Institute of Mathematics, Czechoslovak Academy of Sciences, the Department of Mathematics, Czech University of Technology, the Union of Czechoslovak Mathematicians and Physicists, the Czechoslovak Scientific and Technical Society, and supported by IMU. During the Conference, 69 scientific communications from different branches of potential theory were presented; the majority of them are in cluded in the present volume. (Papers based on survey lectures delivered at the Conference, its program as well as a collection of problems from potential theory will appear in a special volume of the Lecture Notes Series published by Springer-Verlag). Topics of these communications truly reflect the vast scope of contemporary potential theory. Some contributions deal with applications in physics and engineering, other concern potential theoretic aspects of function theory and complex analysis. Numerous papers are devoted to the theory of partial differential equations. Included are also many articles on axiomatic and abstract potential theory with its relations to probability theory. The present volume may thus be of intrest to mathematicians speciali zing in the above-mentioned fields and also to everybody interested in the present state of potential theory as a whole.
Potential Theory, Surveys and Problems
Author: Josef KralPublisher: Springer
ISBN: 3540459529
Category : Mathematics
Languages : en
Pages : 276
Book Description
The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. A collection of problems from potential theory, compiled on the occasion of the conference, is included, with additional commentaries, in the second part of this volume.
Nonlinear Evolution Equations And Their Applications - Proceedings Of The Luso-chinese Symposium
Author: Tatsien LiPublisher: World Scientific
ISBN: 9814543446
Category :
Languages : en
Pages : 334
Book Description
This book discusses recent trends and developments in the area of nonlinear evolution equations. It is a collection of invited lectures on the following topics: nonlinear parabolic equations (systems); nonlinear hyperbolic systems; free boundary problems; conservation laws and shock waves; travelling and solitary waves; regularity, stability and singularity, etc.