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Invitation to partial differential equations /

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Bibliographic Details
Main Author: Shubin, M. A. (Mikhail Aleksandrovich), 1944- (Author)
Other Authors: Braverman, Maxim, 1966- (Editor), McOwen, Robert C. (Editor), Topalov, P., 1968- (Editor)
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2020]
Series:Graduate studies in mathematics. 205.
Subjects:
Differential equations, Partial > Textbooks.
Differential equations, Partial > Problems, exercises, etc.
Partial differential equations > Instructional exposition (textbooks, tutorial papers, etc.)
Table of Contents:
  • Linear differential operators
  • One-dimensional wave equation
  • The Sturm-Liouville problem
  • Distributions
  • Convolution and Fourier transform
  • Harmonic functions
  • The heat equation
  • Sobolev spaces. A generalized solution of Dirichlet's problem
  • The eigenvalues and eigenfunctions of the Laplace operator
  • The wave equation
  • Properties of the potentials and their calculations
  • Wave fronts and short-wave asymptotics for hyperbolic equations.