A new asymptotic mean value formula for the p-Laplacian yields a dynamic programming principle whose solutions are value functions of a two-player zero-sum game and converge to viscosity solutions of the equation.
DiBenedetto.Degenerate parabolic equations
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The paper establishes refined interpolative gap bounds that guarantee higher integrability of gradients for weak solutions to inhomogeneous singular parabolic double phase equations.
Weak solutions to the degenerate parabolic double phase equation are locally bounded.
Sequences of smooth solutions to the nonisothermal kinetic model for incompressible dilute polymeric fluids converge to a global-in-time large-data weak solution satisfying an energy inequality and a renormalized variational inequality for absolute temperature, establishing weak sequential stability
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A game-theoretical interpretation for a doubly nonlinear parabolic equation
A new asymptotic mean value formula for the p-Laplacian yields a dynamic programming principle whose solutions are value functions of a two-player zero-sum game and converge to viscosity solutions of the equation.
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Interpolative Refinement of Gap Bound Conditions for Singular Parabolic Double Phase Problems
The paper establishes refined interpolative gap bounds that guarantee higher integrability of gradients for weak solutions to inhomogeneous singular parabolic double phase equations.
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Local boundedness for solutions to degenerate parabolic double phase problems
Weak solutions to the degenerate parabolic double phase equation are locally bounded.
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Weak sequential stability of solutions to a nonisothermal kinetic model for incompressible dilute polymeric fluids
Sequences of smooth solutions to the nonisothermal kinetic model for incompressible dilute polymeric fluids converge to a global-in-time large-data weak solution satisfying an energy inequality and a renormalized variational inequality for absolute temperature, establishing weak sequential stability