A variational approach to nonlocal heat equations
Edoardo Mainini
TL;DR
This paper introduces a variational method for solving nonlocal heat equations, offering a new approach to select solutions in elliptic in time regularizations for diffusion models.
Contribution
It presents a weighted variational integral framework for nonlocal linear diffusion equations with forcing, advancing solution selection techniques.
Findings
Developed a variational approach for nonlocal heat equations
Provided a solution selection principle for elliptic in time regularizations
Enhanced understanding of nonlocal diffusion models
Abstract
We discuss a weighted variational integral approach for nonlocal linear diffusion models with forcing term, providing a selection principle for solutions of elliptic in time regularizations.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Numerical methods in inverse problems · Nonlinear Differential Equations Analysis