
doi: 10.1002/mma.11051
handle: 11379/627166 , 11380/1383169
ABSTRACTWe prove well posedness and stability in 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 of classical results about parabolic equations with Neumann conditions is here achieved.
mixed hyperbolic–parabolic initial boundary value problems; nonlocal mixed boundary value problems; parabolic problems with Neumann boundary conditions in L1, mixed hyperbolic-parabolic initial boundary value problems; nonlocal mixed boundary value problems; parabolic problems with Neumann boundary conditions in L-1
mixed hyperbolic–parabolic initial boundary value problems; nonlocal mixed boundary value problems; parabolic problems with Neumann boundary conditions in L1, mixed hyperbolic-parabolic initial boundary value problems; nonlocal mixed boundary value problems; parabolic problems with Neumann boundary conditions in L-1
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