Skip to main content
MathOverflow

Return to Question

formatting, added tag
Source Link
YCor
YCor
  • 63.9k
  • 5
  • 187
  • 285

Elliptic Regularityregularity with negative sobolevSobolev space on bounded or unbounded domains

I wasam looking for some reference which deal'sdeals with the existence and regularity of solution to $ -\Delta u = f $ in bounded or unbounded domain $\Omega$ and with Dirichlet boundary condition, $u|\partial \Omega = 0$ where $f \in W^{-1,p}(\Omega)$ (or some other negative sobolev space in general)

Elliptic Regularity with negative sobolev space on bounded or unbounded domains

I was looking for some reference which deal's with the existence and regularity of solution to $ -\Delta u = f $ in bounded or unbounded domain $\Omega$ and with Dirichlet boundary condition, $u|\partial \Omega = 0$ where $f \in W^{-1,p}(\Omega)$ (or some other negative sobolev space in general)

Elliptic regularity with negative Sobolev space on bounded or unbounded domains

I am looking for some reference which deals with the existence and regularity of solution to $ -\Delta u = f $ in bounded or unbounded domain $\Omega$ and with Dirichlet boundary condition, $u|\partial \Omega = 0$ where $f \in W^{-1,p}(\Omega)$ (or some other negative sobolev space in general)

Source Link
pde
pde
  • 121
  • 3

Elliptic Regularity with negative sobolev space on bounded or unbounded domains

I was looking for some reference which deal's with the existence and regularity of solution to $ -\Delta u = f $ in bounded or unbounded domain $\Omega$ and with Dirichlet boundary condition, $u|\partial \Omega = 0$ where $f \in W^{-1,p}(\Omega)$ (or some other negative sobolev space in general)