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The Youngnam Mathematical Society (영남수학회)
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WEIGHTED SOBOLEV REGULARITY OF VISCOSITY SOLUTIONS FOR FULLY NONLINEAR PARABOLIC EQUATIONS

  • Lee, Mikyoung (Department of Mathematics, Pusan National University)
  • Received : 2022.01.03
  • Accepted : 2022.01.20
  • Published : 2022.01.31
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Abstract

We obtain interior regularity estimates in the weighted Orlicz spaces for viscosity solutions of fully nonlinear uniformly parabolic equations ut - F(D2 u, x, t) = f(x, t) in Q1 under relaxed structure conditions on the nonlinear operator F.

Keywords

Acknowledgement

This work was supported by Pusan National University Research Grant, 2019.

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