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| Homogenization of Semilinear Parabolic PDEs with the Third Boundary Conditions |
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Citation： |
Junxia DUAN,Jun PENG.Homogenization of Semilinear Parabolic PDEs with the Third Boundary Conditions[J].Chinese Annals of Mathematics B,2026,(2):315~342 |
| Page view： 279
Net amount： 167 |
Authors： |
Junxia DUAN; Jun PENG |
Foundation： |
Hunan Provincial Natural Science Foundation of China (No. 2025JJ50030) |
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| Abstract： |
In this paper, the authors study the homogenization of the third boundary value problem for semilinear parabolic PDEs with rapidly oscillating periodic coefficients in the weak sense. Their method is entirely probabilistic, and builds upon the work of Tanaka (2020) and Buckdahn (1999). Backward stochastic differential equations with singular coefficients play an important role in this approach. |
Keywords： |
Homogenization Weak solution Third boundary value problem Backward stochastic differential equations |
Classification： |
60H30, 35B27, 35K40 |
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