Main Title |
Partial differential equations of mathematical physics |
Author |
Sobolev, S. L.
|
Publisher |
Pergamon Press [U.S.A. ed. distributed by Addison-Wesley Pub. Co., Reading, Mass.] |
Year Published |
1964 |
OCLC Number |
00529386 |
Subjects |
Mathematical physics ;
Differential equations, Partial ;
Partièele differentiaalvergelijkingen ;
Mathematische fysica ;
Mathematische Physik--(DE-588)4037952-8 ;
Partielle Differentialgleichung--(DE-588)4044779-0 ;
Fisica Matematica
|
Additional Subjects |
Mathematical physics ;
Differential equations, Partial
|
Holdings |
Library |
Call Number |
Additional Info |
Location |
Last Modified |
Checkout Status |
EKBM |
QA401.S613 1964 |
|
Research Triangle Park Library/RTP, NC |
08/31/2011 |
|
Collation |
x, 427 pages illustrations 24 cm |
Notes |
Translation of Uravneniëiìa matematicheskoæi fiziki. |
Contents Notes |
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. |
Place Published |
Oxford, New York, |
PUB Date Free Form |
1964. |
Series Title Traced |
Adiwes international series in mathematics |
Document Type |
BC |
Cataloging Source |
OCLC/U |
LCCN |
63019262 //r84 |
Origin |
OCLC |
Type |
CAT |