List questions from elliptic-equations

Published on 22 Mar 2015 - 16:35

127

Views

Existence of weak solution to $-\Delta u =0$, $u|_{\Gamma_1} = g$ and $u_{\Gamma_2} = 0$?

Published on 07 Apr 2015 - 14:05

74

Views

Neumann-like boundary conditions for Poisson equation

Published on 06 May 2015 - 12:25

176

Views

Well-posedness of semilinear elliptic equations

Published on 25 Mar 2026 - 19:25

87

Views

Gradient of a solution of an elliptic equation on the boundary

Published on 26 Mar 2026 - 21:27

63

Views

Connection between parabolic and elliptic PDEs

Published on 06 Jun 2015 - 20:40

177

Views

The Dirichlet problem for the Laplace equation: classical solutions versus weak solution

Published on 15 Jun 2015 - 12:31

70

Views

a Problem about Harmonic Function

Published on 16 Jun 2015 - 5:41

329

Views

Prelim problem $\sup_{\bar\Omega}|\nabla u|^2\leq C(\sup_{\Omega}u^2+\sup_{\Omega}f^2+\sup_{\Omega}|\nabla f|^2)+\sup_{\partial\Omega}|\nabla u|^2$

Published on 26 Mar 2026 - 19:02

242

Views

Operator equation $Au = f$ for $-\Delta u(x)=f(x)$

Published on 05 Jul 2015 - 8:56

154

Views

Regularity for non-homogenous elliptic PDE

Published on 08 Jul 2015 - 17:40

1k

Views

Is the following PDE boundary value problem well-posed?

Published on 26 Mar 2026 - 17:53

239

Views

Monotonic convergence of Newton's method for boundary value problems

Published on 13 Jul 2015 - 5:30

428

Views

Estimates for parabolic vs elliptic PDE

Published on 30 Jul 2015 - 22:11

42

Views

Why does this elliptic quasilinear problem have a weak solution?

Published on 06 Aug 2015 - 23:26

List Question

a priori estimates involving Sobolev norms

Existence of weak solution to $-\Delta u =0$, $u|_{\Gamma_1} = g$ and $u_{\Gamma_2} = 0$?

Neumann-like boundary conditions for Poisson equation

Well-posedness of semilinear elliptic equations

Gradient of a solution of an elliptic equation on the boundary

Connection between parabolic and elliptic PDEs

The Dirichlet problem for the Laplace equation: classical solutions versus weak solution

a Problem about Harmonic Function

Prelim problem $\sup_{\bar\Omega}|\nabla u|^2\leq C(\sup_{\Omega}u^2+\sup_{\Omega}f^2+\sup_{\Omega}|\nabla f|^2)+\sup_{\partial\Omega}|\nabla u|^2$

Operator equation $Au = f$ for $-\Delta u(x)=f(x)$

Regularity for non-homogenous elliptic PDE

Is the following PDE boundary value problem well-posed?

Monotonic convergence of Newton's method for boundary value problems

Estimates for parabolic vs elliptic PDE

Why does this elliptic quasilinear problem have a weak solution?

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