‎Sobolev (Sergueï Lvovitch) - E.R. Dawson and T.A.A. Broadbent, eds.‎
‎Partial Differential Equations of Mathematical Physics , Translated from the Third Russian Edition by E.R. Dawson, English Translation Edited by T.A.A. Broadbent‎

‎Dover , Dover Books on Advanced Mathematics Malicorne sur Sarthe, 72, Pays de la Loire, France 1989 Book condition, Etat : Bon paperback, editor's grey orange and yelow printed and illustrated wrappers In-8 1 vol. - 437 pages‎

Reference : 100681

‎ Reprint 1989 of the 1964's first English edition Contents, Chapitres : Contents, Preface, x, Text, 427 pages - 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 sphere - The Dirichlet problem and the Neumann 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 - Applications 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 equation 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 - Index - Sergueï Lvovitch Sobolev (1908 -1989) est un mathématicien et physicien atomique russe de l'époque soviétique (URSS). Il a donné son nom aux espaces de Sobolev. - Sobolev a introduit des notions de nos jours fondamentales dans plusieurs champs des mathématiques. Les espaces de Sobolev, des espaces de fonctions caractérisées par des conditions sur leurs transformées de Fourier, sont devenus un point important de l'analyse fonctionnelle. Les fonctions généralisées (connues par la suite sous le nom de distributions) ont été introduites pour la première fois par Sobolev en 1935 pour la recherche de formulations faibles, avant d'être repris par Laurent Schwartz. Sobolev a donné une version abstraite de la notion classique de différentiation, étendant ainsi les champs d'application de la théorie de Newton et Leibniz. (source : Wikipedia) minor folding tracks on the corner of the wrappers, else near fine copy, no markings, inside is fine - Dover Edition‎