Nonlocal Mixed Systems With Neumann Boundary Conditions
Copyright policy )Nonlocal Mixed Systems With Neumann Boundary Conditions
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.
Initial-boundary value problems for first-order hyperbolic equations, mixed hyperbolic-parabolic initial boundary value problems, Initial-boundary value problems for second-order parabolic equations, mixed hyperbolic–parabolic initial boundary value problems; nonlocal mixed boundary value problems; parabolic problems with Neumann boundary conditions in L1, nonlocal mixed boundary value problem, mixed hyperbolic-parabolic initial boundary value problems; nonlocal mixed boundary value problems; parabolic problems with Neumann boundary conditions in L-1, parabolic problems with Neumann boundary conditions in \(\mathbf{L}^1\), Mixed-type systems of PDEs
Initial-boundary value problems for first-order hyperbolic equations, mixed hyperbolic-parabolic initial boundary value problems, Initial-boundary value problems for second-order parabolic equations, mixed hyperbolic–parabolic initial boundary value problems; nonlocal mixed boundary value problems; parabolic problems with Neumann boundary conditions in L1, nonlocal mixed boundary value problem, mixed hyperbolic-parabolic initial boundary value problems; nonlocal mixed boundary value problems; parabolic problems with Neumann boundary conditions in L-1, parabolic problems with Neumann boundary conditions in \(\mathbf{L}^1\), Mixed-type systems of PDEs
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