Weakly Solutions to the Complex Monge–Ampère Equation on Bounded Plurifinely Hyperconvex Domains
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DOI: 10.1007/s11785-018-0821-6
Abstract: Let $$\mu $$μ be a non-negative measure defined on bounded $${\mathcal {F}}$$F-hyperconvex domain $$\Omega $$Ω. We are interested in giving sufficient conditions on $$\mu $$μ such that we can find a plurifinely plurisubharmonic function satisfying… read more here.
Keywords: solutions complex; amp equation; complex monge; weakly solutions ... See more keywords
Construction of solutions of the critical SQG equation in bounded domains
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DOI: 10.1016/j.aim.2019.05.034
Abstract: Abstract We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We construct global bounded interior Lipschitz solutions from arbitrary large bounded interior Lipschitz initial data. read more here.
Keywords: sqg equation; equation bounded; construction solutions; bounded domains ... See more keywords
Stochastic transport equation with bounded and Dini continuous drift
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DOI: 10.1016/j.jde.2022.03.038
Abstract: The results established by Flandoli, Gubinelli and Priola (Invent. Math. 180 (2010) 1– 53) for stochastic transport equation with bounded and Hölder continuous drift are generalized to bounded and Dini continuous drift. The uniqueness of… read more here.
Keywords: transport equation; drift; equation bounded; stochastic transport ... See more keywords
Existence of solutions for a parabolic equation in bounded domain
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DOI: 10.1080/00036811.2016.1265107
Abstract: Abstract In this paper, we study the existence of nonnegative solutions for the parabolic problem where D is a smooth domain of , (), the function is such that and is the normalized positive eigenfunction… read more here.
Keywords: equation bounded; parabolic equation; existence; solutions parabolic ... See more keywords