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W2,p-Regularity of Lp Viscosity Solutions to Fully Nonlinear Elliptic Equations with Low-Order Terms

open access: yesJournal of Advances in Applied & Computational Mathematics
In this paper, we consider the following fully nonlinear elliptic equation                                                                      F(D2u, Du, x) = f(x), where the operator F satisfies structure condition and the gradient of solution has ...
Shuhan Hao, Yao Zhang, Zhenqiu Zhang
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GLOBAL REGULARITY TO THE 2D INHOMOGENEOUS LIQUID CRYSTAL FLOWS WITH LARGE INITIAL DATA AND VACUUM

Rocky Mountain Journal of Mathematics, 2022
In this paper, we study the 2D incompressible nematic liquid crystal equations in smooth bounded domain, where the velocity u and macroscopic molecular orientation d admit the Dirich-let and Neumann boundary condition respectively.
Yang Liu, Renying Guo, Nan Zhou
semanticscholar   +1 more source

Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains

East Asian Journal on Applied Mathematics, 2018
The artificial boundary method is used to reformulate the time fractional Schrödinger equation on the real line as a bounded problem with exact artificial boundary conditions.
Zhi‐zhong Sun
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On the symmetry of minimizers

, 2007
For a large class of variational problems we prove that minimizers are symmetric whenever they are C. AMS subject classifications. 35A15, 35B05, 35B65, 35H30, 35J20, 35J45, 35J50, 35J60.
Mihai Marics
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