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

• Autorzy: Mikhail Borsuk
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35J70: Degenerate elliptic equations
• 35B45: A priori estimates

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 79
• Numer: 3
• Strony: 207-232

Daty

wydano

2002

Twórcy

autor

Mikhail Borsuk

• Department of Mathematics and Informatics, University of Warmia and Mazury, Licznerskiego 4, 10-721 Olsztyn, Poland

Identyfikatory

DOI

10.4064/ap79-3-2