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Lp-Kato class measures and their relations with Sobolev embedding theorems

Mori, TakahiroKyoto University2021

kyoto Repository record for Lp-Kato class measures and their relations with Sobolev embedding theorems (opens in a new tab)

Stochastic dynamics with singular lower order terms in finite and infinite dimensions

Jin, PengUniversität Bielefeld

… of three parts. In the first part, we study a class of second order parabolic equations $$nabla (a(t,x) cdot nabla u(t,x))+b(t,x)cdot nabla u(t,x)+V(t,x) u(t,x)-partial_{t}u(t,x)=0 eqno (1)$$ in the domain $[0,T]times mathbb{R}^{d}$, where $T<infty$. We assume that the matrix $a(t,x)=(a_{ij} …

bielefeld Repository record for Stochastic dynamics with singular lower order terms in finite and infinite dimensions (opens in a new tab)