Partial differential equations of mathematical physics [by] S.L. Sobolev. Translated from the 3d Russion edition by E.R. Dawson. English translation edited by T.A.A. Broadbent.


Oxford, New York, Pergamon Press [U.S.A. edition distributed by Addison-Wesley Pub. Company, Reading, Mass.] 1964.

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Standard Title Uravnenii︠a︡ matematicheskoĭ fiziki. English
Subjects Differential equations, Partial.
Fisica Matematica.
Mathematical physics.
Mathematische Physik.
Mathematische fysica.
Partielle Differentialgleichung.
Partiële differentiaalvergelijkingen.
Series Adiwes international series in mathematics.
Description x, 427 pages illustrations 24 cm.
Copyright Date 1964.
Notes Translation of Uravnenii︠a︡ matematicheskoĭ fiziki.
Contents Derivation of the fundamental equations -- The formulation of problems of mathematical physics. Hadamard's example -- The classification of linear equations of the second order -- The equation for a vibrating string and its solution by D'Alembert's method -- Riemann's method -- Multiple integrals: Lebesgue integration -- Integrals dependent on a parameter -- The equation of heat conduction -- Laplace's equation and Poisson's equation -- Some general consequences of Green's formula -- Poisson's equation in an unbounded medium: Newtonian potential -- The solution of the Dirichlet problem for a half-space -- The wave equation and the retarded potential -- Properties of the potentials of single and double layers -- Reduction of the Dirichlet problem and the Neumann problem to integral equations -- Laplace's equation and Poisson's equation in a plane -- The theory of integral equations -- Application of the theory of Fredholm equations to the solution of the Dirichlet and Neumann problems -- Green's function -- Green's function for the Laplace operator -- Correctness of formulation of the boundary-value problems of mathematical physics -- Fourier's method -- Integral equations with real, symmetric kernels -- The bilinear formula and the Hilbert-Schmidt theorem -- The inhomogeneous integral equation with a symmetric kernel -- Vibrations of a rectangular parallelepiped -- Laplace's equation in curvilinear coordinates. Examples of the use of Fourier's method -- Harmonic polynomials and spherical functions -- Some elementary properties of Spherical functions.
Network Numbers (OCoLC)529386
(OCoLC)ocm00529386
WorldCat Search OCLC WorldCat
WorldCat Identities Sobolev, S. L. 1908-1989.
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