![]() ![]() The book considers the statement and solutions of boundary value problems pertaining to equations of parabolic types when the physical processes are described by functions of two, three or four independent variables such as spatial coordinates or time. The equations of hyperbolic type concerns derive from problems on vibrations of continuous media and on electromagnetic oscillations. These Problems are arranged on the type and reduction to canonical form of equations in two or more independent variables. The book discusses problems on the derivation of equations and boundary condition. The book contains problems and solutions. For this reason we have ineluded problems in Lebesgue in tegration, problems involving function spaces (especially spaces of generalized differentiable functions) and generalized functions (with Fourier and Laplace transforms), and integral equations.Ī Collection of Problems on Mathematical Physics is a translation from the Russian and deals with problems and equations of mathematical physics. Solution of these requires using the methods and results of various branches of modern analysis. Besides the classical boundary value problems, we have ineluded a large number of boundary value problems that have only generalized solutions. ![]() The present collection of problems is based on these courses and amplifies them considerably. ![]() Mikhailov (both books have been translated into English by Mir Publishers, the first in 1984 and the second in 1978). Vladimirov and "Partial Differential Equations" by V. To this end two new courses have been written at the Department of Higher Mathematics at the Moscow Physics anrl Technology Institute, namely, "Equations of Mathematical Physics" by V. The concept of a generalized solution considerably broadens the field of problems and enables solving from a unified position the most interesting problems that cannot be solved by applying elassical methods. This is especially true with regards to such a fundamental concept as the 80lution of a boundary value problem. The extensive application of modern mathematical teehniques to theoretical and mathematical physics requires a fresh approach to the course of equations of mathematical physics. Publisher: Springer Science & Business Media ![]()
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