Parabolic equations with natural growth approximated by nonlocal equations
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URI: http://hdl.handle.net/10835/15866
DOI: https://doi.org/10.1142/S0219199719500883
DOI: https://doi.org/10.1142/S0219199719500883
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2020-01-19Resumen
We study several aspects related with solutions of nonlocal problems.
The results deal with existence, uniqueness, comparison principle and asymptotic behavior. Moreover, we prove that if the kernel is rescaled in a suitable way, the unique solution of the above problem converges to a solution of the deterministic Kardar–Parisi–Zhang equation.