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Seminar
FIELD Math:Analysis
DATE May 18 (Fri), 2018
TIME 16:00-18:00
PLACE 1424
SPEAKER Shin, Pilsoo
HOST Kim, Soojung
INSTITUTE 서울대학교
TITLE Boundedness of solutions to quasilinear parabolic equations
ABSTRACT

In this talk we prove boundedness of the weak solutions to the Cauchy--Dirichlet problem for quasilinear parabolic equations which prototype is the parabolic $m$-Laplacian. The nonlinear terms satisfy sub-controlled growth conditions with respect to the unknown function and its spatial gradient, while the behaviour in the independent variables is modeled in Lebesgue-Morrey spaces.

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