For a doubly nonlinear parabolic equation with a mixed local-nonlocal operator and convection, the paper establishes weak-mild well-posedness and conditions for stabilization, finite-time extinction, and blow-up.
Nonlinear differential equations of monotone types in Banach spaces
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Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term
For a doubly nonlinear parabolic equation with a mixed local-nonlocal operator and convection, the paper establishes weak-mild well-posedness and conditions for stabilization, finite-time extinction, and blow-up.