We prove well posedness and stability in (Formula presented.) for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to (Formula presented.) of classical results about parabolic equations with Neumann conditions is here achieved.
Nonlocal Mixed Systems With Neumann Boundary Conditions
Colombo, Rinaldo M.
;Sylla, Abraham
2025-01-01
Abstract
We prove well posedness and stability in (Formula presented.) for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to (Formula presented.) of classical results about parabolic equations with Neumann conditions is here achieved.File in questo prodotto:
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