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

Mikhail Borsuk

Annales Polonici Mathematici (2002)

  • Volume: 79, Issue: 3, page 207-232
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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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 79.3 (2002): 207-232. <http://eudml.org/doc/280562>.

@article{MikhailBorsuk2002,
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.},
author = {Mikhail Borsuk},
journal = {Annales Polonici Mathematici},
keywords = {Schauder estimate; transmission problem; quasilinear problem},
language = {eng},
number = {3},
pages = {207-232},
title = {Exact Schauder estimates of solutions of a boundary value problem for parabolic second order equations and their application to a nonlinear problem},
url = {http://eudml.org/doc/280562},
volume = {79},
year = {2002},
}

TY - JOUR
AU - Mikhail Borsuk
TI - Exact Schauder estimates of solutions of a boundary value problem for parabolic second order equations and their application to a nonlinear problem
JO - Annales Polonici Mathematici
PY - 2002
VL - 79
IS - 3
SP - 207
EP - 232
AB - 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.
LA - eng
KW - Schauder estimate; transmission problem; quasilinear problem
UR - http://eudml.org/doc/280562
ER -

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