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Cauchy problem for a class of parabolic systems of Shilov type with variable coefficients

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Litovchenko V., Dovzhytska I.

Open Mathematics

2012

tom 10

nr 3

1084-1102

In the case of initial data belonging to a wide class of functions including distributions of Gelfand-Shilov type we establish the correct solvability of the Cauchy problem for a new class of Shilov parabolic systems of equations with partial derivatives with bounded smooth variable lower coefficients and nonnegative genus. We also investigate the conditions of local improvement of the convergence of a solution of this problem to its limiting value when the time variable tends to zero.

Ograniczanie wyników

1 Open Mathematics

1 Dovzhytska I.

1 Litovchenko V.

1 2012

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Cauchy problem for a class of parabolic systems of Shilov type with variable coefficients