Author: Songmu Zheng
Publisher: Chapman and Hall/CRC
Keywords: parabolic, surveys, applied, math, monographs, coupled, equations, hyperbolic, nonlinear, systems
Number of Pages: 272
Published: 1995-08-08
List price: $173.95
ISBN-10: 0582244889
ISBN-13: 9780582244887

This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based on recent research carried out by the author and his collaborators.The book can be divided into two parts. In the first part, the results on decay of solutions to nonlinear parabolic equations and hyperbolic parabolic coupled systems are obtained, and a chapter is devoted to the global existence of small smooth solutio

Author: T. I. Zelenyak
Publisher: Walter de Gruyter
Keywords: equations, parabolic, theory, qualitative
Number of Pages: 417
Published: 1997-04
List price: $344.00
ISBN-10: 9067642363
ISBN-13: 9789067642361

This publication considers parabolic problems based on the Liapunov method within the qualitative theory of ordinary differential equations. Here lie, mainly, the problems which have been investigated most thoroughly, the construction of Liapunov functionalis which naturally generalize Liapunov functions for non-linear parabolic equations of the second order with one spatial variable. The authors establish stabilizing solutions theorems, and the necessary and sufficient conditions of general and asymptotic stability of stationary solutions, including the so-called critical case. Attraction dom

Author: Emmanuele DiBenedetto
Publisher: Springer
Keywords: universitext, equations, parabolic, degenerate
Number of Pages: 387
Published: 1993-07-23
List price: $79.95
ISBN-10: 0387940200
ISBN-13: 9780387940205

Mathematicians have only recently begun to understand the local structure of solutions of degenerate and singular parabolic partial differential equations. The problem originated in the mid ’60s with the work of DeGiorgi, Moser, Ladyzenskajia and Uraltzeva. This book is an account of the developments in this field over the past five years. It evolved out of the 1990-Lipschitz Lectures given by Professor DiBenedetto at the Institut f|r angewandte Mathematik of the University, Bonn.

Author: John Sullivan
Publisher: A K Peters Ltd
Keywords: geometry, methods, parabolic, elliptic
Number of Pages: 203
Published: 1996-09
List price: $69.00
ISBN-10: 1568810644
ISBN-13: 9781568810645

Author: Guo Chun Wen
Publisher: World Scientific Publishing Company
Keywords: equations, complex, parabolic, nonlinear, linear
Number of Pages: 246
Published: 1999-06
List price: $61.00
ISBN-10: 9810238568
ISBN-13: 9789810238568

This book deals mainly with linear and nonlinear parabolic equations and systems of second order. It first transforms the real forms of parabolic equations and systems into complex forms, and then discusses several initial boundary value problems and Cauchy problems for quasilinear and nonlinear parabolic complex equations of second order with smooth coefficients or measurable coefficients. Parabolic complex equations are discussed in the nonlinear case and the boundary conditions usually include the initial irregular oblique derivative. The boundary value problems are considered in multiply c

Author: Gary M. Lieberman
Publisher: World Scientific Publishing Company
Keywords: equations, differential, parabolic, order, second
Number of Pages: 439
Published: 1996-12
List price: $76.00
ISBN-10: 981022883X
ISBN-13: 9789810228835

This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems. It studies the existence, uniqueness, and regularity of solutions to a variety of problems with Dirichlet boundary conditions and general linear and nonlinear boundary conditions by means of a priori estimates. The first seven chapters give a description of the linear theory and are suitable for a graduate course on partial differential equations. The last eight chapters cover the nonlinear theory for smooth solutions. They in

Author: C.V. Pao
Publisher: Springer
Keywords: fems, symposium, equations, elliptic, parabolic, nonlinear
Number of Pages: 794
Published: 1993-01-31
List price: $319.00
ISBN-10: 0306443430
ISBN-13: 9780306443435

In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.