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Fully nonlinear parabolic fixed transmission problems
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DOI：10.1016/j.na.2025.114004.png)
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We consider transmission problems for parabolic equations governed by distinct fully nonlinear operators on each side of a time-dependent interface. We prove that if the interface is C1,p, in the parabolic sense, then viscosity solutions are piecewise C1,p up to the interface. As byproducts, we obtain a new ABP-Krylov-Tso estimate, and establish existence, uniqueness, a comparison principle, and regularity results for the flat interface problem.
Keyword:
Transmission problems
Parabolic fully nonlinear equations
Viscosity solutions
Regularity
期刊
N
IF:
1.3
论文数:
113
被引数:
0
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