Local and global solutions for some parabolic nonlocal problems
Isabella Ianni
TL;DR
This paper investigates the conditions under which solutions exist locally and globally for certain semilinear parabolic problems involving nonlocal Newtonian terms, providing insights into their mathematical behavior.
Contribution
It introduces new results on existence of solutions for parabolic problems with nonlocal nonlinearities, expanding understanding of such equations.
Findings
Established criteria for local solution existence.
Proved conditions for global solution existence.
Analyzed the impact of nonlocal terms on solution behavior.
Abstract
We study local and global existence of solutions for some semilinear parabolic initial boundary value problems with autonomous nonlinearities having a "Newtonian" nonlocal term.
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