Blow-up Analysis for a Nonlocal Reaction-diffusion Equation with Robin Boundary Conditions
| Autor: | Zhong Bo Fang, Lingwei Ma |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
global existence
Work (thermodynamics) 35B30 General Mathematics 010102 general mathematics Null (mathematics) Mathematical analysis 35B40 Mathematics::Analysis of PDEs upper bound 35K65 weighted nonlocal source 01 natural sciences Measure (mathematics) Upper and lower bounds Robin boundary condition 010101 applied mathematics Reaction–diffusion system reaction-diffusion equation 0101 mathematics Finite time blow-up time lower bound Mathematics |
| Zdroj: | Taiwanese J. Math. 21, no. 1 (2017), 131-150 |
| Popis: | This work is concerned with the blow-up phenomena for a nonlocal reaction-diffusion equation with null Robin boundary conditions. We establish sufficient conditions to guarantee the solution exists globally or blows up at finite time under appropriate measure sense. Moreover, upper and lower bounds for the blow-up time are derived in higher dimensional spaces. Finally, some application examples are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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