Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths
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DOI: 10.1016/j.jde.2018.07.049
Abstract: Abstract We prove a global Lorentz estimate for the variable power of the gradients of weak solution to parabolic obstacle problems with p ( t , x ) -growth over a bounded nonsmooth domain. It… read more here.
Keywords: lorentz estimate; variable power; estimate variable; parabolic obstacle ... See more keywords
Well-posedness theory for electromagnetic obstacle problems
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DOI: 10.1016/j.jde.2020.05.009
Abstract: Abstract This paper develops a well-posedness theory for hyperbolic Maxwell obstacle problems generalizing the result by Duvaut and Lions (1976) [5] . Building on the recently developed result by Yousept (2020) [30] , we prove… read more here.
Keywords: posedness theory; obstacle; well posedness; constraint ... See more keywords
Obstacle problems for parabolic SDEs with Hölder continuous diffusion: From weak to strong solutions
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DOI: 10.1016/j.jmaa.2017.01.044
Abstract: Abstract The article focuses on the qualitative analysis of the following stochastic variational inequality d u ( t ) + A ( t , u ( t ) ) d t + ∂ I K… read more here.
Keywords: diffusion; parabolic sdes; problems parabolic; lder continuous ... See more keywords
On existence and uniqueness of viscosity solutions to obstacle problems for a class of second order partial differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.02.057
Abstract: Abstract We prove the existence and uniqueness of the viscosity solutions to the obstacle problems for second order differential partial equations under some conditions. As applications, we show some existence and uniqueness theorems of the… read more here.
Keywords: uniqueness viscosity; solutions obstacle; viscosity solutions; existence uniqueness ... See more keywords
Quadratic reflected BSDEs and related obstacle problems for PDEs
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2018.1543778
Abstract: Abstract In this paper, we study a kind of reflected backward stochastic differential equations (BSDEs) whose generators are of quadratic growth in z and linear growth in y. We first give an estimate of solutions… read more here.
Keywords: reflected bsdes; related obstacle; quadratic reflected; bsdes related ... See more keywords
Global higher integrability of solutions to subelliptic double obstacle problems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/2018.1021
Abstract: In this paper we consider the double obstacle problems associated with nonlinear subelliptic equation XA(x, u,Xu) +B(x, u,Xu) = 0, x ∈ Ω, where X = (X1, . . . , Xm) is a system… read more here.
Keywords: double obstacle; higher integrability; global higher; obstacle problems ... See more keywords
Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions
Sign Up to like & getrecommendations! Published in 2019 at "Forum Mathematicum"
DOI: 10.1515/forum-2019-0148
Abstract: Abstract We establish the higher differentiability of integer order of solutions to a class of obstacle problems assuming that the gradient of the obstacle possesses an extra integer differentiability property. We deal with the case… read more here.
Keywords: psi; higher differentiability; class; obstacle ... See more keywords