Maximal B-regular integro-differential equation
β Scribed by Veli Shakhmurov; Rishad Shahmurov
- Publisher
- Coastal and Estuarine Research Federation
- Year
- 2009
- Tongue
- English
- Weight
- 155 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1860-6261
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π SIMILAR VOLUMES
## Abstract We consider nonlinear integroβdifferential equations like the ones that arise from stochastic control problems with purely jump LΓ©vy processes. We obtain a nonlocal version of the ABP estimate, Harnack inequality, and interior __C__^1, Ξ±^ regularity for general fully nonlinear integroβd
The initial boundary value problem for an integroβdifferential equation with nonlinear damping and source terms in a bounded domain is considered. By modifying the method in a work by Autuori __et al.__ in 2010, we establish the nonexistence result of global solutions with the initial energy control