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- W1999156502 abstract "Parabolic equations , are considered that are of second order with a nonnegative quadratic form corresponding to the space variables. This form degenerates on the boundary: , where is the normal vectors, which corresponds to the condition of impermeability of the boundary. Special function spaces with weight are introduced. Semiboundedness of the operator in these spaces with arbitrary is proved: . On this basis theorems on the smoothness of solutions for , are proved. Theorems on the smoothness of solutions of the elliptic equation are also obtained.Bibliography: 6 titles." @default.
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- W1999156502 date "1995-02-28" @default.
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- W1999156502 title "ON SMOOTHNESS UP TO THE BOUNDARY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH A DEGENERATE OPERATOR" @default.
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- W1999156502 doi "https://doi.org/10.1070/sm1995v082n02abeh003564" @default.
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