Titlebook: Equations in Mathematical Physics; A practical course Victor P. Pikulin,Stanislav I. Pohozaev Book 2001 Springer Basel AG 2001 Partial diff

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https://doi.org/10.1007/978-3-0348-8285-9Partial differential equations; eliptic; hyperbolic; parabolic; Boundary value problem; Cauchy problem; di

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Book 2001ll as to engineers and scientists. The aim of the handbook is to treat (demonstrate) the basic methods for solving the simplest problems of classical mathematical physics. The most basic among the methods considered hrre i8 the superposition method. It allows one, based on particular linearly indepm

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Introduction,rdinary differential equations, in winch the unknown function depends on only one variable, in partial differential equations the unknown function depends on several variables (for example, the electric field vector.(.) depends on the space variables . and the time .).

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Elliptic problems,The solution of our problem is given by a series.(where ..(.) are the atom solutions, . (..,.,..) is the current point of the domain of space under consideration, and .. are arbitrary constants). It remains to find constants .. such that the boundary conditions are satisfied.

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Introduction,s of partial differential equations. The majority of the equations of mathematical physics itself are partial differential equations. In contrast to ordinary differential equations, in winch the unknown function depends on only one variable, in partial differential equations the unknown function dep