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Mathematical Methods in the Applied Sciences
Article . 2025 . Peer-reviewed
License: CC BY
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Nonlocal Mixed Systems With Neumann Boundary Conditions

Authors: Rinaldo M. Colombo; Elena Rossi; Abraham Sylla;

Nonlocal Mixed Systems With Neumann Boundary Conditions

Abstract

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.

Keywords

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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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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