List questions from sobolev-spaces

Published on 17 Apr 2026 - 2:38

134

Views

Sobolev spaces documentation

Published on 12 Apr 2026 - 0:09

188

Views

Going from a weak formulation to a pointwise a.e statement; don't understand text (PDEs, sobolev spaces)

Published on 15 Apr 2026 - 6:46

99

Views

For a PDE $u' + Au = f$, if $f$ and $u'$ are smooth does it mean $Au$ is also smooth?

Published on 26 Mar 2026 - 14:21

131

Views

How to show $\int_Q \varphi^2 (\Delta v)v_t = \int_Q |\nabla v|^2 \varphi \varphi_t - 2\int_Q (\nabla v \cdot \nabla \varphi) (\varphi v_t)$

Published on 16 Apr 2026 - 15:43

211

Views

Is $\lVert u \rVert_{L^2(M)} + \lVert \Delta u \rVert_{L^2(M)}$ equivalent to $\lVert u \rVert_{H^2(M)}$?

Published on 14 Apr 2026 - 5:27

269

Views

Integral convergence involving Lp and Sobolev spaces

Published on 13 Apr 2026 - 19:08

86

Views

Transferring a result in PDE from open domain to a manifold

Published on 12 Apr 2026 - 12:16

103

Views

Trace defined in terms of integral averages

Published on 10 Apr 2026 - 13:52

29

Views

Is $C^\infty([0,T]\times \Gamma) \subset C^\infty([0,T];H^1(\Gamma))$? If so, is it dense?

Published on 16 Apr 2026 - 13:19

743

Views

Gradient on Sobolev spaces

Published on 15 Apr 2026 - 9:37

63

Views

Is $[L^2(\Omega), H^2(\Omega)]_{\frac 1 2}=H^1(\Omega)$?

Published on 16 Apr 2026 - 6:18

136

Views

Is $L^2(0,T;H^{-1}(\Omega)) \subset \mathcal{D}^*((0,T)\times \Omega)$?

Published on 16 Apr 2026 - 12:19

3.6k

Views

characterization of the dual space of the Sobolev space $H_0^1$

Published on 14 Apr 2026 - 20:13

113

Views

If $u_m \rightharpoonup u$, how to show using monotonicity that $f(u_m) \rightharpoonup f(u)$?

Published on 26 Mar 2026 - 14:23

List Question

Predual of $W^{1,\infty}$

Sobolev spaces documentation

Going from a weak formulation to a pointwise a.e statement; don't understand text (PDEs, sobolev spaces)

For a PDE $u' + Au = f$, if $f$ and $u'$ are smooth does it mean $Au$ is also smooth?

How to show $\int_Q \varphi^2 (\Delta v)v_t = \int_Q |\nabla v|^2 \varphi \varphi_t - 2\int_Q (\nabla v \cdot \nabla \varphi) (\varphi v_t)$

Is $\lVert u \rVert_{L^2(M)} + \lVert \Delta u \rVert_{L^2(M)}$ equivalent to $\lVert u \rVert_{H^2(M)}$?

Integral convergence involving Lp and Sobolev spaces

Transferring a result in PDE from open domain to a manifold

Trace defined in terms of integral averages

Is $C^\infty([0,T]\times \Gamma) \subset C^\infty([0,T];H^1(\Gamma))$? If so, is it dense?

Gradient on Sobolev spaces

Is $[L^2(\Omega), H^2(\Omega)]_{\frac 1 2}=H^1(\Omega)$?

Is $L^2(0,T;H^{-1}(\Omega)) \subset \mathcal{D}^*((0,T)\times \Omega)$?

characterization of the dual space of the Sobolev space $H_0^1$

If $u_m \rightharpoonup u$, how to show using monotonicity that $f(u_m) \rightharpoonup f(u)$?

Trending Questions

Popular # Hahtags

Popular Questions