Theoretical Mathematics & Applications

Oblique Derivative Problems for Nonlinear Parabolic Equations of Second Order in High Dimensional Domains

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• Abstract

  This article mainly deals with the oblique derivative problem for nonlinear nondivergent parabolic equations of second order with measurable coefficients in multiply connected domains. We first derive a priori estimates of solutions for the boundary value problems. Then we use these estimates and the fixed-point theorem to prove the existence of solutions.