Friedman A. Variational Principles and Free-Boundary Problems

De Gruyter, 2011. - 648 pages. The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain suff...

McGraw-Hill, 1993. - 348 pages. Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the conce...

New York: Oxford University Press, 1984/ The moving boundaries occur mostly in heat-flow problems with phase changes and in certain diffusion processes. A free boundary does not move but its position has to be determined as part of the solution of a steady-stateproblem. Seepage through porous media is perhaps the most common but by no means the only source of problems of this kind. The broad spectrum of active research workers includes three gro...

Springer, 2009. - 198 pages. Focussing on the interrelations of the subjects of Markov processes, analytic semigroups and elliptic boundary value problems, this monograph provides a careful and accessible exposition of functional methods in stochastic analysis. The author studies a class of boundary value problems for second-order elliptic differential operators which includes as particular cases the Dirichlet and Neumann problems, and proves th...

Academic Press, 1989. - 481 Pages. This book provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs, with an emphasis on applications to parabolic and hyperbolic systems. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. Researchers and graduate students in applied mathematics and engineering will find Initial-Boundary Value Prob...

Springer, 1973 - Всего страниц: 420. C. Baiocchi: Probl mes fronti re libre li?'s des questions d hydraulique.- Ch. Castaing: Int grales convexes duales.- G. Duvaut: Etude de probl mes unilateraux en m canique par des m thodes variationnelles.- D. Kinderlehrer: Remarks about the free boundaries occurring in variational inequalities.- H. Lanchon: Torsion lastoplastique d arbres cylindriques: probl mes ouverts.- J.M. Lasry: Dualit en calcul des var...

Academic Press, 2005. - 520 Pages. Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, has written a thorough, theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of sepa...

Academic Press, 1989. - 432 pages. The present work is a continuation of that in earlier volumes by Ames and Rogers and Shadwick. Here, the object is to give an up-to-date account of analytic methods available for the exact solution of nonlinear boundary value problems of physical interest. Thus, the text may be regarded as supplementing the numerous texts now in print on the application of the inverse scattering transform to the solution of non...

Society for Industrial Mathematics, 1987. - 748 pages. For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problem...

Cambridge University Press, 1995. - 658 pages. The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work ef...