We prove well posedness and stability in L-1 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 L-1 of classical results about parabolic equations with Neumann conditions is here achieved.
Nonlocal Mixed Systems With Neumann Boundary Conditions / Colombo, R. M.; Rossi, E.; Sylla, A.. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 48:13(2025), pp. 12632-12643. [10.1002/mma.11051]
Nonlocal Mixed Systems With Neumann Boundary Conditions
Rossi E.;
2025
Abstract
We prove well posedness and stability in L-1 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 L-1 of classical results about parabolic equations with Neumann conditions is here achieved.
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