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Linear and Quasi-linear Equations of Parabolic Type

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Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.

Author(s): O.A. Ladyzhenskaya and V.A. Solonnikov and N.N. Uraltseva
Series: American Mathematical Society, translations of mathematical monographs
Edition: reprint
Publisher: American Mathematical Society
Year: 1968

Pages: 648