Partial Differential Equations. Basic theory. Michael E. Taylor

Partial Differential Equations. Basic theory



Download Partial Differential Equations. Basic theory



Partial Differential Equations. Basic theory Michael E. Taylor ebook djvu
Publisher: Springer
Language: English
Page: 586
ISBN: 0387946535, 9780387946535

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.



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