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|All Authors / Contributors:||
Lipman Bers; Fritz John (Mathematiker); Martin Schechter
|Description:||XV, 343 S. : graph. Darst.|
|Contents:||Part I. Hyperbolic and Parabolic Equations: Equations of hyperbolic and parabolic types The wave operator Cauchy's problem, characteristic surfaces, and propagation of discontinuities Linear hyperbolic differential equations A parabolic equation: The equation of heat conduction Approximation of solutions of partial differential equations by the method of finite differences; Part II. Elliptic Equations: Elliptic equations and their solutions The maximum principle Hilbert space approach. Periodic solutions Hilbert space approach. Dirichlet problem Potential theoretical approach Function theoretical approach Quasi-linear equations Supplement; I. Eigenvalue expansions Supplement; II. Parabolic equations Index.|
|Series Title:||Lectures in applied mathematics, 3,1.|
|Responsibility:||Lipman Bers ; Fritz John ; Martin Schechter.|