An 𝐿_{𝑝}-theory for diffusion equations related to stochastic processes with non-stationary independent increment

DOI10.1090/tran/7410zbMath1439.60074arXiv1705.01243OpenAlexW2963967915MaRDI QIDQ4645122

Panki Kim, Kyeong-Hun Kim, Ildoo Kim

Publication date: 10 January 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01243

zbMATH Keywords

pseudo-differential operator\(L_p\)-theorydiffusion equation for jump processnon-stationary increment

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Diffusion processes (60J60) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (7)

A weighted \(L_p\)-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators ⋮ A Regularity Theory for Parabolic Equations with Anisotropic Nonlocal Operators in \(\boldsymbol{L_{{q}}(L_{{p}})}\) Spaces ⋮ Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure ⋮ Sobolev regularity theory for the non-local elliptic and parabolic equations on \(C^{1,1}\) open sets ⋮ Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings ⋮ Semilinear equations for non-local operators: beyond the fractional Laplacian ⋮ An \(L_q (L_p)\)-theory for diffusion equations with space-time nonlocal operators

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