Partial Differential Equations I
Basic Theory
Ranked #32 in Differential Equations
This is the first of three volumes on partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas. It also develops a number of tools for their solution, including Fourier analysis, distribution theory and Sobolev spaces. These tools are 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. less
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