Unified stochastic representation, well-posedness analysis, and regularity analysis for the equations modeling anomalous diffusions

DOI10.3934/dcdsb.2023121OpenAlexW4383563403MaRDI QIDQ6139073

Rui Sun, Weihua Deng

Publication date: 16 January 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2023121

zbMATH Keywords

regularitywell-posednessPoisson equationanomalous diffusionstochastic representation

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

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