Geodesic
Exact Schauder estimates of solutions of a boundary value problem for parabolic second order equations and their application to a nonlinear problem
Mikhail Borsuk1
1 Department of Mathematics and Informatics University of Warmia and Mazury Licznerskiego 4 10-721 Olsztyn, Poland
Annales Polonici Mathematici, Tome 79 (2002) no. 3, pp. 207-232.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap79-3-2
Keywords: establish exact schauder estimates solutions transmission problem linear parabolic second order equations explicit dependence smoothness coefficients apply estimates solvability nonlinear transmission problem

Mikhail Borsuk 1

1 Department of Mathematics and Informatics University of Warmia and Mazury Licznerskiego 4 10-721 Olsztyn, Poland 
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Mikhail Borsuk. Exact Schauder estimates of solutions of a boundary
  value problem for parabolic second order equations and
  their application to a nonlinear problem. Annales Polonici Mathematici, Tome 79 (2002) no. 3, pp. 207-232. doi : 10.4064/ap79-3-2. http://geodesic.mathdoc.fr/articles/10.4064/ap79-3-2/

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