Question

Global bounded solution of $u_{tt}=\Delta u-mu+h$ in the Hilbert space $X=H_{0}^{1}\left(\Omega\right)\times L^{2}\left(\Omega\right)$

score 193 · Answer 1 · 2026-04-16 01:39:56

193

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Global bounded solution of $u_{tt}=\Delta u-mu+h$ in the Hilbert space $X=H_{0}^{1}\left(\Omega\right)\times L^{2}\left(\Omega\right)$

Published on 16 Apr 2026 - 1:39

score 367 · Answer 2 · 2026-05-11 03:14:20

367

Views

Prove the maximum principle for a solution of the PDE $(-\Delta + \lambda)u=0$

Published on 11 May 2026 - 3:14

score 129 · Answer 3 · 2026-04-13 21:54:00

129

Views

Holder Gradient Estimate for Linear Equation

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score 244 · Answer 4 · 2026-05-11 03:42:13

244

Views

Elliptic regularity on the torus: reference request

Published on 11 May 2026 - 3:42

score 194 · Answer 5 · 2026-05-11 00:53:13

194

Views

Formulas for Schrödinger unitary groups of operators

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score 449 · Answer 6 · 2026-04-09 17:30:12

449

Views

About the image of the trace operator for Sobolev spaces.

Published on 09 Apr 2026 - 17:30

score 48 · Answer 7 · 2026-04-16 14:07:49

48

Views

Show the convergence of the integral $F(t,x)=\int_{-\infty}^{+\infty}\exp[i\tau t-(i\tau)^{1/2}x - (i\tau)^\theta] \,d\tau$

Published on 16 Apr 2026 - 14:07

score 523 · Answer 8 · 2026-05-11 09:30:07

523

Views

Equating the general operator to the Laplacian: $Lu=-\Delta u$

Published on 11 May 2026 - 9:30

score 905 · Answer 9 · 2026-04-15 04:49:28

905

Views

To show surface orthogonal to each other

Published on 15 Apr 2026 - 4:49

score 922 · Answer 10 · 2026-04-11 23:41:29

922

Views

How do the existence and $L^p$ integrability of weak derivative affect the smoothness of Sobolev functions?

Published on 11 Apr 2026 - 23:41

score 165 · Answer 11 · 2026-04-10 01:23:30

165

Views

Differential equation with the solution of $(1+ax/2)\exp(-ax)$

Published on 10 Apr 2026 - 1:23

score 315 · Answer 12 · 2026-04-11 03:23:46

315

Views

Checking Boundary Conditions for Candidate Solutions to PDE

Published on 11 Apr 2026 - 3:23

score 54 · Answer 13 · 2026-04-14 19:25:43

54

Views

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Published on 14 Apr 2026 - 19:25

score 101 · Answer 14 · 2026-05-14 21:43:26

101

Views

order of pseudo - differential operator

Published on 14 May 2026 - 21:43

score 208 · Answer 15 · 2026-04-15 11:28:05

208

Views

Solving second order non-homogenous PDE

Published on 15 Apr 2026 - 11:28

List Question

Global bounded solution of $u_{tt}=\Delta u-mu+h$ in the Hilbert space $X=H_{0}^{1}\left(\Omega\right)\times L^{2}\left(\Omega\right)$

Prove the maximum principle for a solution of the PDE $(-\Delta + \lambda)u=0$

Holder Gradient Estimate for Linear Equation

Elliptic regularity on the torus: reference request

Formulas for Schrödinger unitary groups of operators

About the image of the trace operator for Sobolev spaces.

Show the convergence of the integral $F(t,x)=\int_{-\infty}^{+\infty}\exp[i\tau t-(i\tau)^{1/2}x - (i\tau)^\theta] \,d\tau$

Equating the general operator to the Laplacian: $Lu=-\Delta u$

To show surface orthogonal to each other

How do the existence and $L^p$ integrability of weak derivative affect the smoothness of Sobolev functions?

Differential equation with the solution of $(1+ax/2)\exp(-ax)$

Checking Boundary Conditions for Candidate Solutions to PDE

Solve 2 connected ODEs describing a domain

order of pseudo - differential operator

Solving second order non-homogenous PDE

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