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Exact Schauder estimates of solutions of a boundary value problem for parabolic second order equations and their application to a nonlinear problem

Volume 79 / 2002

Mikhail Borsuk Annales Polonici Mathematici 79 (2002), 207-232 MSC: 35J65, 35J70, 35B45. DOI: 10.4064/ap79-3-2

Abstract

We establish exact Schauder estimates of solutions of the transmission problem for linear parabolic second order equations with explicit dependence on the smoothness of the coefficients. Next we apply the estimates to the solvability of the nonlinear transmission problem.

Authors

  • Mikhail BorsukDepartment of Mathematics and Informatics
    University of Warmia and Mazury
    Licznerskiego 4
    10-721 Olsztyn, Poland
    e-mail

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