Existence of solutions to the Poisson equation in L/sub p/ spaces

2002 ◽  
Author(s):  
O. Hernandez-Lerma ◽  
J.B. Lasserre
Keyword(s):  
Poisson Equation ◽  
Existence Of Solutions ◽  
The Poisson Equation

Existence of Solutions to Poisson's Equation

2008 ◽  
Vol 51 (2) ◽  
pp. 229-235
Author(s):  
Mary Hanley
Keyword(s):  
Boundary Conditions ◽  
Poisson Equation ◽  
Existence Of Solutions ◽  
Poisson’S Equation ◽  
Poisson's Equation ◽  
The Poisson Equation ◽  
Topological Condition ◽  
Necessary And Sufficient

AbstractLet Ω be a domain in ℝn (n ≥ 2). We find a necessary and sufficient topological condition on Ω such that, for anymeasure μ on ℝn, there is a function u with specified boundary conditions that satisfies the Poisson equation Δu = μ on Δ in the sense of distributions.

scholarly journals Existence of solutions to the Poisson equation in Lp-weighted spaces

2010 ◽  
Vol 37 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Joanna Rencławowicz ◽  
Wojciech M. Zajączkowski
Keyword(s):  
Poisson Equation ◽  
Existence Of Solutions ◽  
Weighted Spaces ◽  
The Poisson Equation

scholarly journals Existence of solutions to the Poisson equation in L2-weighted spaces

2010 ◽  
Vol 37 (3) ◽  
pp. 309-323 ◽  
Author(s):  
Joanna Rencławowicz ◽  
Wojciech M. Zajączkowski
Keyword(s):  
Poisson Equation ◽  
Existence Of Solutions ◽  
Weighted Spaces ◽  
The Poisson Equation
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