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RECORD NUMBER: 6 OF 8
OLS Field Name  OLS Field Data  

Main Title  Partial differential equations of mathematical physics  
Author  Sobolev, S. L.  
Publisher  Pergamon Press [U.S.A. ed. distributed by AddisonWesley Pub. Co., Reading, Mass.]  
Year Published  1964  
OCLC Number  00529386  
Subjects  Mathematical physics ; Differential equations, Partial ; Partièele differentiaalvergelijkingen. ; Mathematische fysica. ; Mathematische Physik.(DE588)40379528 ; Partielle Differentialgleichung.(DE588)40447790 ; Fisica Matematica.  
Additional Subjects  Mathematical physics ; Differential equations, Partial  
Holdings 


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 halfspace  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 boundaryvalue problems of mathematical physics  Fourier's method  Integral equations with real, symmetric kernels  The bilinear formula and the HilbertSchmidt 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. 