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
β¦ LIBER β¦
Global existence and non-existence for a higher-order parabolic equation with time-fractional term
β Scribed by Fuqin Sun; Peihu Shi
- Book ID
- 113811708
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 241 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0362-546X
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The paper deals with the time-dependent linear heat equation with a non-linear and non-local boundary condition that arises when considering the radiation balance. Solutions are considered to be functions with values in < : "+v3H( )" v3ΒΈ(R ),. As a consequence one has to work with non-standard Sobo