Cordes-Nirenberg type estimates for nonlocal parabolic equations. (English) Zbl 1328.47082
Summary: In this paper, we obtain Cordes-Nirenberg type estimates for nonlocal parabolic equations on the more flexible solution space \(L_T^\infty(L_\omega^1)\) than the classical solution space \(\operatorname{B}(\mathbb{R}_T^n)\) consisting of all bounded functions on \(\mathbb{R}_T^n\).
MSC:
| 47N20 | Applications of operator theory to differential and integral equations |
| 47G20 | Integro-differential operators |
| 45K05 | Integro-partial differential equations |
| 35K55 | Nonlinear parabolic equations |
| 35B65 | Smoothness and regularity of solutions to PDEs |
Keywords:
nonlocal parabolic equations; Cordes-Nirenberg type estimates; integro-differential operatorsReferences:
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