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• W4312132527 abstract "Abstract This paper is concerned with a general class of fully nonlinear parabolic equations with monotone nonlocal terms. We investigate the quasiconvexity preserving property of positive, spatially coercive viscosity solutions. We prove that if the initial value is quasiconvex, the viscosity solution to the Cauchy problem stays quasiconvex in space for all time. Our proof can be regarded as a limit version of that for power convexity preservation as the exponent tends to infinity. We also present several concrete examples to show applications of our result." @default.
• W4312132527 created "2023-01-04" @default.
• W4312132527 creator A5005165251 @default.
• W4312132527 creator A5043320171 @default.
• W4312132527 creator A5054317248 @default.
• W4312132527 date "2022-12-12" @default.
• W4312132527 modified "2023-10-18" @default.
• W4312132527 title "Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations" @default.
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• W4312132527 doi "https://doi.org/10.1007/s00030-022-00818-8" @default.
• W4312132527 hasPublicationYear "2022" @default.
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