Proves comparison principle for non-negative weak solutions to doubly nonlinear parabolic fractional PDEs, yielding uniqueness for the Cauchy-Dirichlet problem under the stated boundary condition.
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Proves existence, comparison principle, and uniqueness for the Cauchy-Dirichlet problem of fully nonlinear anisotropic evolution equations under a closeness assumption on the exponents that ensures a power of the solution has a gradient.
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A comparison principle for a class of doubly nonlinear parabolic fractional partial differential equations
Proves comparison principle for non-negative weak solutions to doubly nonlinear parabolic fractional PDEs, yielding uniqueness for the Cauchy-Dirichlet problem under the stated boundary condition.
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Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations
Proves existence, comparison principle, and uniqueness for the Cauchy-Dirichlet problem of fully nonlinear anisotropic evolution equations under a closeness assumption on the exponents that ensures a power of the solution has a gradient.