List questions from boundary-value-problem

Published on 24 Mar 2026 - 0:19

52

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What means norm $\|u'\|$ and $\|u\|$ in Sobolev space $W^{1,2}(I)$ and why is functional continuous?

Published on 24 Mar 2026 - 3:08

741

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Solve $u_{rr}+r^{-1}u_r+r^{-2}u_{\theta\theta}=0.$

Published on 24 Mar 2026 - 10:52

120

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Non-Dimensionalizing Separation of Variables PDE

Published on 25 Mar 2026 - 15:39

457

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Helmholtz equation with robin boundary condition

Published on 24 Mar 2026 - 11:23

601

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Method of Characteristics for $u_t + uu_x = -2u$

Published on 25 Mar 2026 - 15:17

361

Views

Proving that the eigenvalues of the Airy problem are positive

Published on 25 Mar 2026 - 19:03

174

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Poisson integral formula for boundary value problem

Published on 25 Mar 2026 - 15:45

80

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A sufficient condition for a Neumann problem to have solution

Published on 23 Mar 2026 - 17:52

102

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Separating variables in a PDE with multiple constants

Published on 25 Mar 2026 - 20:33

323

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Laplace Equation with Inhomogeneous Boundary Condition

Published on 26 Mar 2026 - 19:09

325

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Laplace equation in 3D with numerous Non-Homogeneous BC(s) [Strategy Check]

Published on 25 Mar 2026 - 13:57

530

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Solving the BVP $u_{xx}+a^2u=\sin(\pi x)$ with $u(0)=1$ and $u(1)=-2$

Published on 24 Mar 2026 - 14:05

484

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Solve PDE using method of characteristics with non-local boundary conditions.

Published on 25 Mar 2026 - 15:17

1.7k

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Robin BC in the 1D wave equation

Published on 25 Mar 2026 - 17:26

List Question

Boundary value problem $u_t-u_{xx}=\cosh(x), \ 0<x<4, \ t>0.$ (PDE)

What means norm $\|u'\|$ and $\|u\|$ in Sobolev space $W^{1,2}(I)$ and why is functional continuous?

Solve $u_{rr}+r^{-1}u_r+r^{-2}u_{\theta\theta}=0.$

Non-Dimensionalizing Separation of Variables PDE

Helmholtz equation with robin boundary condition

Method of Characteristics for $u_t + uu_x = -2u$

Proving that the eigenvalues of the Airy problem are positive

Poisson integral formula for boundary value problem

A sufficient condition for a Neumann problem to have solution

Separating variables in a PDE with multiple constants

Laplace Equation with Inhomogeneous Boundary Condition

Laplace equation in 3D with numerous Non-Homogeneous BC(s) [Strategy Check]

Solving the BVP $u_{xx}+a^2u=\sin(\pi x)$ with $u(0)=1$ and $u(1)=-2$

Solve PDE using method of characteristics with non-local boundary conditions.

Robin BC in the 1D wave equation

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