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Global Existence and Blowup for a Parabolic Equation with a Non-Local Source and Absorption

โœ Scribed by Ling, Zhi; Lin, Zhigui; Pedersen, Michael


Book ID
119997126
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
567 KB
Volume
124
Category
Article
ISSN
0167-8019

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We establish local existence and comparison for a model problem which incorporates the effects of non-linear diffusion, convection and reaction. The reaction term to be considered contains a non-local dependence, and we show that local solutions can be obtained via monotone limits of solutions to ap