Results 71 to 80 of about 444 (158)
Solvability for Schrodinger equations with discontinuous coefficients
, 2016 We consider the L-P solvability for divergence and non-divergence form Schrodinger equations with discontinuous coefficients. As an application, we give the global Morrey regularity for divergence and non-divergence form Schrodinger operators with VMO ...
Tang, Lin, Pan, Guixia
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Parabolic oblique derivative problem with discontinuous coefficients in generalized Morrey spaces
, 2013 We study the global Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO ...
SOFTOVA Lyoubomira +2 more
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On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients
, 2010 We prove the solvability in Sobolev spaces $W^{1,2}_p$, $p>d+1$, of the terminal-boundary value problem for a class of fully nonlinear parabolic equations, including parabolic Bellman's equations, in bounded cylindrical domains with VMO ``coefficients''.
Dong, Hongjie, Krylov, N. V., Li, Xu
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Parabolic boundary value problems with rough coefficients [PDF]
, 2018 This thesis is motivated by some of the recent results of the solvability of elliptic PDE in Lipschitz domains and the relationships between the solvability of different boundary value problems.
Dyer, Luke Oliver
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Parabolic equations with measurable coefficients II
, 2007 We prove the existence and uniqueness of solutions in Sobolev spaces to second-order parabolic equations in non-divergence form. The coefficients (except one of them) of second-order terms of the equations are measurable in both time and one spatial ...
Doyoon Kim, Kim, Doyoon
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, 1999 Well-posedness is proved in the space W2, p, λ(Ω)∩W1, p0(Ω) for the Dirichlet problem -- EQUATION OMITTED -- if the principal coefficients aij(x) of the uniformly elliptic operator belong to VMO∩L∞(Ω)
Palagachev, Dian K. +2 more
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Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms
Journal of Functional Analysis, 2007 The author studies the Cauchy problem for second-order divergence and non-divergence type equations: \[ \begin{aligned} L u(t,x)&= u_t(t,x) +a^{ij}(t,x)u_{x^ix^j}(t,x)+ b^i(t,x)u_{x^i}(t,x)+c(t,x) u(t,x),\\ {\mathcal L } u(t,x)&= u_t(t,x) +\big(a^{ij}(t,x)u_{x^i}(t,x)+ \bar b^j(t,x)u(t,x)\big)u_{x^j} + b^i(t,x)u_{x^i}(t,x)+c(t,x) u(t,x) \end{aligned} \]
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A weighted Lp-theory for parabolic PDEs with BMO coefficients on C1-domains
, 2013 In this paper we present a weighted Lp-theory of second-order parabolic partial differential equations defined on C1 domains. The leading coefficients are assumed to be measurable in time variable and have VMO (vanishing mean oscillation) or small BMO ...
Lee, Kijung, Kim, Kyeong-Hun
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Regularity results for a class of nonlocal double phase equations with VMO coefficients [PDF]
We study a class of nonlocal double phase problems with discontinuous coefficients. A local self-improving property and a higher H¨older continuity result for weak solutions to such problems are obtained under the assumptions that the associated ...
Kim, Kyeongbae +2 more
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Lp − Lq ESTIMATES FOR PARABOLIC SYSTEMS IN NON-DIVERGENCE FORM WITH VMO COEFFICIENTS
, 2006 Consider a parabolic N×N-system of order m on Rn with top-order coefficients aα ∈ VMO∩L∞. Let 1 < p, q < ∞ and let ω be a Muckenhoupt weight. It is proved that systems of this kind possess a unique solution u satisfying ‖u′‖Lq(J;Lpω(Rn)N) + ‖Au‖Lq ...
Haller-Dintelmann, Robert +5 more
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