Dirichlet and Neumann boundary values of solutions to higher order elliptic equations

Ariel Barton, Steve Hofmann, Svitlana Mayboroda

Type: Preprint

Publication Date: 2017-03-20

Citations: 3

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Dirichlet and Neumann boundary values of solutions to higher order elliptic equations	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+ PDF Chat	Dirichlet and Neumann boundary values of solutions to higher order elliptic equations	2019	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	The $L^p$ Neumann problem for higher order elliptic equations	2020	Ariel Barton
+	The $L^p$ Neumann problem for higher order elliptic equations	2020	Ariel Barton
+	A priori bounds and a Liouville theorem on a half-space for higher order elliptic Dirichlet problems	2007	Wolfgang Reichel Tobias Weth
+	The $\dot W^{-1,p}$ Neumann problem for higher order elliptic equations	2019	Ariel Barton
+	The $\dot W^{-1,p}$ Neumann problem for higher order elliptic equations	2019	Ariel Barton
+	Boundedness and a priori estimates of solutions to elliptic systems with Dirichlet-Neumann boundary conditions	2010	Sándor Kelemen Pavol Quíttner
+	The Ẇ−1,p Neumann problem for higher order elliptic equations	2021	Ariel Barton
+	Elliptic Boundary Value Problems	2022	Kazuaki Taira
+ PDF Chat	A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems	2008	Wolfgang Reichel Tobias Weth
+	$$L^{p}$$ Theory of Elliptic Boundary Value Problems	2024	Kazuaki Taira
+	Half-Dirichlet problems for dirac operators in lipschitz domains	2001	Marius Mitrea
+	Elliptic Boundary Value Problems	2004	Kazuaki Taira
+	Pseudo-Differential Operators on a Half-Space	2021	Jérôme Le Rousseau Gilles Lebeau Luc Robbiano
+	A Generalized Dirichlet Principle for Second Order Nonselfadjoint Elliptic Operators	1988	Ross G. Pinsky
+	Dirichlet and Neumann Problems	2008	Peter V. O'Neil
+	The Dirichlet problem for second order elliptic equations with coefficients in the Stummel class in unbounded domains	1994	Carmela Vitanza Pietro Zamboni
+	Elliptic Boundary Value Problems	2017	Valery Serov
+	L p -estimates for solutions of second-order elliptic equation Dirichlet problem	2013	A. K. Guschin

Works That Cite This (3)

Action	Title	Year	Authors
+	Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations	2018	Ariel Barton Steve Hofmann Svitlana Mayboroda
+ PDF Chat	The Neumann problem for higher order elliptic equations with symmetric coefficients	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	The $\dot W^{-1,p}$ Neumann problem for higher order elliptic equations	2019	Ariel Barton

Works Cited by This (29)

Action	Title	Year	Authors
+ PDF Chat	Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain	1980	Björn Dahlbert
+	Function spaces on subsets of Rn	1984	Alf Jonsson Hans Wallin Jaak Peetre
+ PDF Chat	The method of layer potentials in<i>L<sup>p</sup></i>and endpoint spaces for elliptic operators with<i>L<sup>∞</sup></i>coefficients	2015	Steve Hofmann Marius Mitrea Andrew J. Morris
+	Equivalence between Regularity Theorems and Heat Kernel Estimates for Higher Order Elliptic Operators and Systems under Divergence Form	2000	Pascal Auscher Mahmoud Qafsaoui
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg
+ PDF Chat	Positive harmonic functions on Lipschitz domains	1970	Richard A. Hunt Richard L. Wheeden
+	Analyticity of layer potentials and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> solvability of boundary value problems for divergence form elliptic equations with complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mo>∞</mml:mo></mml:msup></mml:math> coefficients	2010	M. Angeles Alfonseca Pascal Auscher Andreas Axelsson Steve Hofmann Seick Kim
+ PDF Chat	Area integral estimates for higher order elliptic equations and systems	1997	Björn E. J. Dahlberg Carlos E. Kenig Jill Pipher Gregory C. Verchota
+ PDF Chat	On the boundary values of harmonic functions	1968	Richard A. Hunt Richard L. Wheeden
+ PDF Chat	On the behaviour of harmonic functions at the boundary	1950	A. P. Calderón