Classical solvability of a parabolic system of two nonlinear equations |
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Authors: | D V Portnyagin |
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Institution: | 1.Institute of Physics of Condensed Systems,National Academy of Sciences,Lviv,Ukraine |
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Abstract: | We study the complete regularity of solutions of a nondiagonal parabolic system of quasilinear second-order differential equations
in divergence form assuming that the coefficients are sufficiently slowly varying functions of their arguments and the off-diagonal
terms in the coefficient matrix are sufficiently small. To this end, we use a method based on the successive approximation
to the solution by smooth functions with the use of Schauder estimates at each step. |
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Keywords: | |
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