Regularity for Robin boundary problems of Laplace equations and Hardy spaces on C1 and (semi-)convex domains
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Wen Yuan | Winfried Sickel | Dachun Yang | Sibei Yang | W. Sickel | Dachun Yang | Sibei Yang | Wen Yuan
[1] S. Mayboroda,et al. Hardy and BMO spaces associated to divergence form elliptic operators , 2006, math/0611804.
[2] Liang Song,et al. An atomic decomposition of weighted Hardy spaces associated to self-adjoint operators☆ , 2013 .
[3] Jan Kadlec,et al. О регулярности решения задачи Пуассона на области с границей подобной границе куба , 1963 .
[4] Daniel Daners,et al. Heat Kernel Estimates for Operators with Boundary Conditions , 2000 .
[5] V. Adolfsson. Lp-integrability of the second order derivatives of Green potentials in convex domains , 1993 .
[6] S. Mayboroda,et al. Second order elliptic operators with complex bounded measurable coefficients in L p , Sobolev and Hardy spaces , 2010, 1002.0792.
[7] X. Duong,et al. Hardy spaces associated to operators satisfying Davies–Gaffney estimates and bounded holomorphic functional calculus☆ , 2013 .
[8] Zhongwei Shen. Weighted estimates in $L^{2}$ for Laplace's equation on Lipschitz domains , 2004 .
[9] S. Agmon,et al. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I , 1959 .
[10] Fu Ken Ly,et al. Maximal function characterizations for new local Hardy-type spaces on spaces of homogeneous type , 2016, Transactions of the American Mathematical Society.
[11] X. Duong. Hardy spaces associated to the discrete Laplacians on graphs and boundedness of singular integrals , 2014 .
[12] L. Caffarelli,et al. On W1,p estimates for elliptic equations in divergence form , 1998 .
[13] V. Maz'ya,et al. Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations , 2010 .
[14] Carlos E. Kenig,et al. The Inhomogeneous Dirichlet Problem in Lipschitz Domains , 1995 .
[15] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .
[16] M. Mitrea,et al. Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates , 2011 .
[17] Jun Geng,et al. The Neumann Problem and Helmholtz Decomposition in Convex Domains , 2010, 1001.0778.
[18] M. Mitrea,et al. Complex Powers of the Neumann Laplacian in Lipschitz Domains , 2001 .
[19] E. Stein,et al. Hp spaces of several variables , 1972 .
[20] Renjin Jiang,et al. New Orlicz–Hardy spaces associated with divergence form elliptic operators , 2009, 0906.1882.
[21] A. Mcintosh,et al. Singular integral operators with non-smooth kernels on irregular domains , 1999 .
[22] Michael Grüter,et al. The Green function for uniformly elliptic equations , 1982 .
[23] Real-variable Characterizations of Orlicz-Hardy Spaces on Strongly Lipschitz Domains of $\mathbb{R}^n$ , 2011, 1107.3267.
[24] F. Gesztesy,et al. Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions , 2012, 1210.0667.
[25] Lixin Yan,et al. Gradient estimate on convex domains and applications , 2012 .
[26] D. Gilbarg,et al. Elliptic Partial Differential Equa-tions of Second Order , 1977 .
[27] Lixin Yan,et al. A MAXIMAL FUNCTION CHARACTERIZATION FOR HARDY SPACES ASSOCIATED TO NONNEGATIVE SELF-ADJOINT OPERATORS SATISFYING GAUSSIAN ESTIMATES , 2015, 1503.03624.
[28] P. Tchamitchian,et al. Gaussian Estimates for Second Order Elliptic Divergence Operators on Lipschitz and C 1 Domains , 2019, Evolution Equations and Their Applications in Physical and Life Sciences.
[29] Global Boundedness of the Gradient for a Class of Schr\"odinger Equations , 2016, 1602.08940.
[30] E. Stein,et al. Hp Theory on a Smooth Domain in RN and Elliptic Boundary Value Problems , 1993 .
[31] The L p Robin problem for Laplace equations in Lipschitz and (semi-)convex domains , 2018 .
[32] Loredana Lanzani,et al. The Poisson's problem for the Laplacian with Robin boundary condition in non-smooth domains , 2006 .
[33] Dorina Mitrea,et al. Boundary value problems for the Laplacian in convex and semiconvex domains , 2010 .
[34] Dorina Mitrea,et al. Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems , 2013 .
[35] Zhongwei Shen,et al. On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains , 2005 .
[36] S. Byun,et al. Elliptic equations with BMO coefficients in Lipschitz domains , 2004 .
[37] D. Mitrea. A generalization of Dahlberg’s theorem concerning the regularity of harmonic Green potentials , 2008 .
[38] P. Auscher,et al. Hardy spaces and divergence operators on strongly Lipschitz domains of Rn , 2002, math/0201301.
[39] E. Davies,et al. Heat kernels and spectral theory , 1989 .
[40] A. T. Elst,et al. Hölder kernel estimates for Robin operators and Dirichlet-to-Neumann operators , 2019, Journal of Evolution Equations.
[41] Zunwei Fu,et al. Gradient Estimates via Rearrangements for Solutions of Some Schr\"odinger Equations , 2016, 1603.00612.
[42] M. Mitrea,et al. Sobolev Estimates for the Green Potential Associated with the Robin—Laplacian in Lipschitz Domains Satisfying a Uniform Exterior Ball Condition , 2009 .
[43] D. Deng,et al. Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains , 2005 .
[44] T. A. Bui. Weighted Hardy Spaces Associated to Discrete Laplacians on Graphs and Applications , 2014 .
[45] Daniel Daners,et al. Robin boundary value problems on arbitrary domains , 2000 .
[46] Dachun Yang,et al. Orlicz-Hardy spaces associated with divergence operators on unbounded strongly Lipschitz domains of $\mathbb{R}^n$ , 2011, 1107.2971.
[47] D. Chang,et al. Weighted local Orlicz-Hardy spaces on domains and their applications in inhomogeneous Dirichlet and Neumann problems , 2012, 1205.1219.
[48] Lihe Wang,et al. Elliptic equations with BMO coefficients in Reifenberg domains , 2004 .
[49] Fu Ken Ly,et al. Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications , 2018, Journal of Functional Analysis.
[50] X. Duong,et al. Weighted Norm Inequalities for Commutators of BMO Functions and Singular Integral Operators with Non-Smooth Kernels , 2014 .
[51] E. Ouhabaz. Analysis of Heat Equations on Domains , 2004 .
[52] E. Stein,et al. Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in ^{} , 1999 .
[53] X. Duong,et al. Regularity estimates for Green operators of Dirichlet and Neumann problems on weighted Hardy spaces , 2018, Journal of the Mathematical Society of Japan.
[54] Stephen J. Fromm,et al. Potential space estimates for Green potentials in convex domains , 1993 .
[55] Lixin Yan,et al. Maximal function characterizations for Hardy spaces associated with nonnegative self-adjoint operators on spaces of homogeneous type , 2016, 1605.07701.
[56] Riesz transform on manifolds and heat kernel regularity , 2004, math/0411374.
[57] Bounds of Riesz Transforms on $L^p$ Spaces for Second Order Elliptic Operators , 2004, math/0410475.
[58] Akihiko Miyachi. $H^{p}$ spaces over open subsets of $R^{n}$ , 1990 .
[59] Elias M. Stein,et al. On the theory of harmonic functions of several variables , 1960 .
[60] P. Tchamitchian,et al. Hardy Sobolev spaces on strongly Lipschitz domains of Rn , 2005 .
[61] Necessary and Sufficient Conditions for the Solvability of the Lp Dirichlet Problem on Lipschitz Domains , 2005, math/0509606.
[62] Jun Geng. W1,p estimates for elliptic problems with Neumann boundary conditions in Lipschitz domains , 2012 .
[63] J. Kadlec,et al. On the regularity of the solution of the Poisson problem on a domain with boundary locally similar t , 1964 .
[64] V. Maz'ya,et al. Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems , 2014 .
[65] Dachun Yang,et al. Regularity for Inhomogeneous Dirichlet Problems of Some Schrödinger Equations on Domains , 2016 .
[66] Dachun Yang,et al. Atomic and maximal function characterizations of Musielak–Orlicz–Hardy spaces associated to non-negative self-adjoint operators on spaces of homogeneous type , 2018, Collectanea Mathematica.
[67] Vilhelm Adolfsson,et al. $L^2$-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains. , 1992 .
[68] Philip D. Plowright,et al. Convexity , 2019, Optimization for Chemical and Biochemical Engineering.