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- W4248459981 abstract "In [13], Chen-Ma-Salani established the strict convexity of spacetime level sets of solutions to heat equation in convex rings, using the constant rank theorem and a deformation method. In this paper, we generalize the constant rank theorem in [13] to fully nonlinear parabolic equations, that is,establish the corresponding microscopic spacetime convexity principles for spacetime level sets. In fact, the results hold for fully nonlinear parabolic equations under a general structural condition, including the $p$-Laplacian parabolic equations ($p >1$) and some mean curvature type parabolic equations." @default.
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- W4248459981 date "2016-05-01" @default.
- W4248459981 modified "2023-10-18" @default.
- W4248459981 title "On the microscopic spacetime convexity principle for fully nonlinear parabolic equations II: Spacetime quasiconcave solutions" @default.
- W4248459981 doi "https://doi.org/10.3934/dcds.2016007" @default.
- W4248459981 hasPublicationYear "2016" @default.
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