Lecture Notes on Mixed Type Partial Differential Equations
Title | Lecture Notes on Mixed Type Partial Differential Equations PDF eBook |
Author | John Michael Rassias |
Publisher | World Scientific |
Pages | 160 |
Release | 1990 |
Genre | Mathematics |
ISBN | 9789810204068 |
This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.
Mixed Type Partial Differential Equations, Lecture Notes On
Title | Mixed Type Partial Differential Equations, Lecture Notes On PDF eBook |
Author | Rassias John Michael |
Publisher | World Scientific Publishing Company |
Pages | 152 |
Release | 1990-08-30 |
Genre | Mathematics |
ISBN | 9813103647 |
This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.
Mixed Problem for Partial Differential Equations with Quasihomogeneous Principal Part
Title | Mixed Problem for Partial Differential Equations with Quasihomogeneous Principal Part PDF eBook |
Author | Semen Grigorʹevich Gindikin |
Publisher | American Mathematical Soc. |
Pages | 233 |
Release | 1996 |
Genre | Mathematics |
ISBN | 9780821846179 |
This book offers the first systematic presentation of the theory of the mixed problem for hyperbolic differential equations with variable coefficients. This class includes hyperbolic and parabolic equations as well as nonclassic type of operator - the $q$-hyperbolic equation - which was introduced by the authors. As part of the exposition, the authors consider the Cauchy problem for this class of equations. This book would be suitable as a graduate textbook for courses in partial differential equations.
Introduction to Partial Differential Equations of Mixed Type
Title | Introduction to Partial Differential Equations of Mixed Type PDF eBook |
Author | Michael Schneider |
Publisher | |
Pages | 126 |
Release | 1977 |
Genre | Differential equations, Partial |
ISBN |
Lectures on Mixed Problems in Partial Differential Equations and Representation of Semi-groups
Title | Lectures on Mixed Problems in Partial Differential Equations and Representation of Semi-groups PDF eBook |
Author | Laurent Schwartz |
Publisher | |
Pages | 270 |
Release | 1957 |
Genre | Differential equations, Partial |
ISBN |
Lecture Notes on Geometrical Aspects of Partial Differential Equations
Title | Lecture Notes on Geometrical Aspects of Partial Differential Equations PDF eBook |
Author | Viktor Viktorovich Zharinov |
Publisher | World Scientific |
Pages | 380 |
Release | 1992 |
Genre | Mathematics |
ISBN | 9789810207533 |
This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text.
Partial Differential Equations
Title | Partial Differential Equations PDF eBook |
Author | Walter A. Strauss |
Publisher | John Wiley & Sons |
Pages | 467 |
Release | 2007-12-21 |
Genre | Mathematics |
ISBN | 0470054565 |
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.