Question

Compact embedding $H^1_{0,rad}(B(0,1),|\log(1/|x|)|)$ in $L^1(B(0,1))$

score 72 · Answer 1 · 2021-07-30 19:57:35

72

Views

Compact embedding $H^1_{0,rad}(B(0,1),|\log(1/|x|)|)$ in $L^1(B(0,1))$

Published on 30 Jul 2021 - 19:57

score 668 · Answer 2 · 2021-08-01 02:05:37

668

Views

Difference between weak and distributional derivatives

Published on 01 Aug 2021 - 2:05

score 45 · Answer 3 · 2021-08-07 20:04:01

45

Views

If $u\in L^2((0,T),H_0^1(\Omega))$ satisfies $u(0)=u_0$ in $H^{-1}(\Omega)$, do we necessarily have $\left.u_0\right|_{\partial\Omega}=0$?

Published on 07 Aug 2021 - 20:04

score 127 · Answer 4 · 2026-03-28 17:05:23

127

Views

Finite element method with two different Dirichlet boundary conditions

Published on 28 Mar 2026 - 17:05

score 49 · Answer 5 · 2026-03-28 17:05:35

49

Views

Explicit bound for $C^{2,\alpha}$ elliptic theory

Published on 28 Mar 2026 - 17:05

score 303 · Answer 6 · 2026-03-27 15:07:41

303

Views

Why do we write $H_0^1(\Omega) \cap H^2$ instead of only $H^2_0(\Omega)$?

Published on 27 Mar 2026 - 15:07

score 43 · Answer 7 · 2021-08-25 15:14:47

43

Views

Approximate $f\in \text{Lip}_K(\Omega)$ with $f\geq 0,f=0$ on $\partial \Omega$ by $f_n\in C_c(\Omega)\cap \text{Lip}_K(\Omega)$ with $f_n\geq 0$.

Published on 25 Aug 2021 - 15:14

score 190 · Answer 8 · 2021-08-30 12:03:28

190

Views

Let $\Omega\subset \mathbb{R}^n$ be open and bounded. Is it true that $C^{0,1}(\Omega) \subset W^{1,\infty}(\Omega)$?

Published on 30 Aug 2021 - 12:03

score 205 · Answer 9 · 2021-09-08 10:49:47

205

Views

Weak derivative for sobolev spaces in manifolds and vector bundles

Published on 08 Sep 2021 - 10:49

score 82 · Answer 10 · 2021-09-12 13:42:12

82

Views

Showing that $u(x,y)=xy\ln|\ln\sqrt{x^2+y^2}|$ belongs to $ H^2$, but not to $C^2$.

Published on 12 Sep 2021 - 13:42

score 262 · Answer 11 · 2021-09-12 18:20:38

262

Views

Check if a function is in H2

Published on 12 Sep 2021 - 18:20

score 181 · Answer 12 · 2021-10-03 11:45:40

181

Views

Find weak derivative of sign-like function

Published on 03 Oct 2021 - 11:45

score 200 · Answer 13 · 2021-10-15 14:19:59

200

Views

Find a weak solution of the ODE

Published on 15 Oct 2021 - 14:19

score 113 · Answer 14 · 2026-02-24 03:49:39

113

Views

Weak form of cahn hilliard equation

Published on 24 Feb 2026 - 3:49

score 48 · Answer 15 · 2026-02-23 06:40:51

48

Views

Question about Hubbard's analytic definition of quasiconformality. Aren't weak derivatives only defined up to a set of measure zero?

Published on 23 Feb 2026 - 6:40

List Question

Compact embedding $H^1_{0,rad}(B(0,1),|\log(1/|x|)|)$ in $L^1(B(0,1))$

Difference between weak and distributional derivatives

If $u\in L^2((0,T),H_0^1(\Omega))$ satisfies $u(0)=u_0$ in $H^{-1}(\Omega)$, do we necessarily have $\left.u_0\right|_{\partial\Omega}=0$?

Finite element method with two different Dirichlet boundary conditions

Explicit bound for $C^{2,\alpha}$ elliptic theory

Why do we write $H_0^1(\Omega) \cap H^2$ instead of only $H^2_0(\Omega)$?

Approximate $f\in \text{Lip}_K(\Omega)$ with $f\geq 0,f=0$ on $\partial \Omega$ by $f_n\in C_c(\Omega)\cap \text{Lip}_K(\Omega)$ with $f_n\geq 0$.

Let $\Omega\subset \mathbb{R}^n$ be open and bounded. Is it true that $C^{0,1}(\Omega) \subset W^{1,\infty}(\Omega)$?

Weak derivative for sobolev spaces in manifolds and vector bundles

Showing that $u(x,y)=xy\ln|\ln\sqrt{x^2+y^2}|$ belongs to $ H^2$, but not to $C^2$.

Check if a function is in H2

Find weak derivative of sign-like function

Find a weak solution of the ODE

Weak form of cahn hilliard equation

Question about Hubbard's analytic definition of quasiconformality. Aren't weak derivatives only defined up to a set of measure zero?

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