Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation

N. A. Watson

Type: Article

Publication Date: 1976-09-01

Citations: 57

DOI: https://doi.org/10.1112/plms/s3-33.2.251

View Publication

Locations

Proceedings of the London Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	The Dirichlet problem and Green’s functions	2015
+ PDF Chat	Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation	1978	N. A. Watson
+	The Dirichlet Problem	1924	Norbert Wiener
+	On the representation of the Green function of the Dirichlet problem and their properties for the polyharmonic equations	2015	B. D. Koshanov Maira Koshanova
+	Solution of the Dirichlet problem in a subspace of a Hilbert space using potentials	1982	A. A. Belyaev
+	Potential Theory, Capacity, Boundaries, Dirichlet Spaces, and Applications	2024
+	The Dirichlet Problem for Euler-Lagrange Equations on Arbitrary Domains	1979	William P. Ziemer
+	Thinness and boundary behaviour of potentials for the heat equation	1985	N. A. Watson
+	The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications	2017	Alberto Cialdea
+	The Dirichlet problem for a multidimensional equation of heat conduction	1990	G. P. Paskalev
+	The method of potentials and the numerical solution of Dirichlet' s problem for the Laplace equation	1963	V.K. Vlasov A.B. Bakushchinskii
+	The Dirichlet and Neumann Problems	2022
+ PDF Chat	The Neumann problem for the heat equation	1953	W. Fulks
+ PDF Chat	Dirichlet heat kernel in the exterior of a compact set	2001	Alexander Grigor’yan Laurent Saloff‐Coste
+	Dirichlet and Neumann Problems	2008	Peter V. O'Neil
+	Balayage, Green Functions, and the Dirichlet Problem	1972	N. S. Landkof
+	The Dirichlet and Neumann Problems	2017	Valery Serov
+	$ L_p$-solubility of the Dirichlet problem for the heat operator	2009	Yuriy Alexandrovich Alkhutov A. N. Gordeev
+	The Cauchy-Dirichlet problem	2006
+	The Cauchy-Dirichlet Problem	2016

Works That Cite This (51)

Action	Title	Year	Authors
+ PDF Chat	Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation	2005	Juha Kinnunen Peter Lindqvist
+	A priori growth estimates for nonnegative supertemperatures and solutions of semilinear heat equations in a Lipschitz domain	2019	Kentaro Hirata
+ PDF Chat	Nonlinear parabolic capacity and polar sets of superparabolic functions	2012	Juha Kinnunen Riikka Korte Tuomo Kuusi Mikko Parviainen
+	Generalizations of the spherical mean convexity theorem on subharmonic functions	1992	N. A. Watson
+ PDF Chat	Sequence solutions of the Dirichlet problem	1981	Jiří Veselý
+	None	1999	N. A. Watson
+ PDF Chat	Additive Lévy Processes: Capacity and Hausdorff Dimension	2004	Davar Khoshnevisan Yimin Xiao
+ PDF Chat	Dimension of fractional Brownian motion with variable drift	2015	Yuval Peres Perla Sousi
+	Brownian motion and thermal capacity	2014	Davar Khoshnevisan Yimin Xiao
+	Pointwise bounds and blow-up for systems of semilinear parabolic inequalities and nonlinear heat potential estimates	2016	Marius Ghergu Steven D. Taliaferro

Works Cited by This (0)

Action	Title	Year	Authors