Matches in Harvard for { <http://id.lib.harvard.edu/aleph/009292419/catalog> ?p ?o. }
Showing items 1 to 27 of
27
with 100 items per page.
- catalog abstract "Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.".
- catalog contributor b13114073.
- catalog contributor b13114074.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog description "Includes bibliographical references (p. [426]-430) and index.".
- catalog description "Introduction -- Characteristics -- Conservation Laws and Shocks -- Maximum Principles -- Distributions -- Function Spaces -- Sobolev Spaces -- Operator Theory -- Linear Elliptic Equations -- Nonlinear Elliptic Equations -- Energy Methods for Evolution Problems -- Semigroup Methods -- References -- Index.".
- catalog description "Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.".
- catalog extent "xiv, 434 p. ;".
- catalog identifier "0387004440 (alk. paper)".
- catalog isPartOf "Texts in applied mathematics ; 13".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.353 21".
- catalog subject "Differential equations, Partial.".
- catalog subject "Engineering mathematics.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "QA374 .R4244 2004".
- catalog tableOfContents "Introduction -- Characteristics -- Conservation Laws and Shocks -- Maximum Principles -- Distributions -- Function Spaces -- Sobolev Spaces -- Operator Theory -- Linear Elliptic Equations -- Nonlinear Elliptic Equations -- Energy Methods for Evolution Problems -- Semigroup Methods -- References -- Index.".
- catalog title "An introduction to partial differential equations / Michael Renardy, Robert C. Rogers.".
- catalog type "Lehrbuch. swd".
- catalog type "text".