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Estimates of solutions of initial-irregular oblique derivative problems for linear parabolic equations of second order with measurable coefficients

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Abstract

The initial-irregular oblique derivative boundary value problems for linear and nondivergence parabolic complex equations of second order in multiply connected domains are dealt with, where the coefficients of equations are measurable. Firstly the uniqueness of solutions for the above problems is introduced, and then somea priori estimates of solutions for the problems are given. By using the above estimates and the Leray-Schauder theorem, the existence of solutions of the initial-boundary value problems can be proved. The results are generalizations of corresponding theorems in literature.

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References

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Authors and Affiliations

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

    Guochun Wen & Benteng Zou

Authors
  1. Guochun Wen
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  2. Benteng Zou
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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., Zou, B. Estimates of solutions of initial-irregular oblique derivative problems for linear parabolic equations of second order with measurable coefficients. Sci. China Ser. A-Math. 41, 1163–1175 (1998). https://doi.org/10.1007/BF02871979

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  • DOI: https://doi.org/10.1007/BF02871979

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