A basic course in partial differential equations /
General Material Designation
[Book]
First Statement of Responsibility
Qing Han
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Providence, R.I. :
Name of Publisher, Distributor, etc.
American Mathematical Society,
Date of Publication, Distribution, etc.
c2011
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 293 p. :
Other Physical Details
ill. ;
Dimensions
27 cm
SERIES
Series Title
Graduate studies in mathematics ;
Volume Designation
v. 120
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 289-290) and index
CONTENTS NOTE
Text of Note
Introduction -- First-order differential equations -- An overview of second-order PDEs -- Laplace equations -- Heat equations -- Wave equations -- First-order differential systems -- Epilogue
0
SUMMARY OR ABSTRACT
Text of Note
This is a textbook for an introductory graduate course on partial differential equations. Han focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, Han emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly. Such estimates are indispensable tools for proving the existence and uniqueness of solutions to PDEs, being especially important for nonlinear equations. The estimates are also crucial to establishing properties of the solutions, such as the continuous dependence on parameters