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2018 Systems with Local and Nonlocal Diffusions, Mixed Boundary Conditions, and Reaction Terms
Mauricio Bogoya, Julio D. Rossi
Abstr. Appl. Anal. 2018: 1-10 (2018). DOI: 10.1155/2018/3906431

Abstract

We study systems with different diffusions (local and nonlocal), mixed boundary conditions, and reaction terms. We prove existence and uniqueness of the solutions and then analyze global existence vs blow up in finite time. For blowing up solutions, we find asymptotic bounds for the blow-up rate.

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Mauricio Bogoya. Julio D. Rossi. "Systems with Local and Nonlocal Diffusions, Mixed Boundary Conditions, and Reaction Terms." Abstr. Appl. Anal. 2018 1 - 10, 2018. https://doi.org/10.1155/2018/3906431

Information

Received: 12 July 2018; Revised: 24 August 2018; Accepted: 13 September 2018; Published: 2018
First available in Project Euclid: 16 November 2018

zbMATH: 07029287
MathSciNet: MR3864590
Digital Object Identifier: 10.1155/2018/3906431

Rights: Copyright © 2018 Hindawi

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