Elements of the modern theory of partial differential equations
Egorov, Yu. V.
Elements of the modern theory of partial differential equations - New York : Springer, 1999. - 263 pages : ill. ; 24 cm.
Includes bibliographical references (p. 251-255) and indexes.
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.
9783540653776
Differential equations, Linear.
Differential equations, Partial.
Differential equation
Pseudodifferential operator
Microlocal analysis
517.95 / EGO-E
Elements of the modern theory of partial differential equations - New York : Springer, 1999. - 263 pages : ill. ; 24 cm.
Includes bibliographical references (p. 251-255) and indexes.
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.
9783540653776
Differential equations, Linear.
Differential equations, Partial.
Differential equation
Pseudodifferential operator
Microlocal analysis
517.95 / EGO-E
