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Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients

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Abstract

The initial-irregular oblique derivative boundary value problems for nonlinear and nondivergence parabolic systems of second order equations in multiply connected domains are dealt with where coefficients of systems of equations are meaurable. The uniqueness theorem of solutions for the above problems and somea priori estimates of solutions for the problems are given. And by using the above estimates of solutions and the Leray-Schauder theorem, the existence of solutions of the initial-boundary value problems is proved. The results are generalizations of corresponding theorems in literature.

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Authors and Affiliations

  1. Department of Mathematics, Peking University, 100871, Beijing, China

    Wen Guochun

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  1. Wen Guochun
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19671006).

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Wen, G. Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients. Sci. China Ser. A-Math. 42, 681–690 (1999). https://doi.org/10.1007/BF02878986

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  • DOI: https://doi.org/10.1007/BF02878986

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