List questions from partial-differential-equations

Published on 15 Apr 2026 - 20:20

122

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Reference request with examples, finite difference method for $1D$ heat equation ,with mixed boundary conditions.

Published on 14 Apr 2026 - 22:14

65

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$u\in H^{1}_{0}$ and $\Delta u=1$ on $\Omega= (0,1)\times(0,1)$ then $u\notin C^{2}(\overline{\Omega})$

Published on 14 Apr 2026 - 9:26

205

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Vorticity equation of axi symmetric flow with swirl

Published on 12 Apr 2026 - 10:28

70

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Solution of fractional laplancian when $s\rightarrow 1^{-}$

Published on 13 Apr 2026 - 3:50

374

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Fourier transform of pde $u_t+\Delta^2 u=0$, $u(x,0)=u_0$

Published on 14 Apr 2026 - 22:53

54

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Solutions to $\Delta f - \partial_z f = 0$

Published on 10 Apr 2026 - 3:55

309

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Operator core of Dirichlet Laplacian

Published on 10 Apr 2026 - 20:51

285

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What is the transversality condition for Euler-Lagrange equations on a manifold?

Published on 25 Mar 2026 - 22:10

115

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Solving a PDE by wavelets

Published on 10 Apr 2026 - 9:00

159

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Steps to derive a weak formulation (streamline diffusion)

Published on 04 May 2026 - 20:37

344

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Re-writing a PDE in Hamiltonian form

Published on 25 Apr 2026 - 17:24

390

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Maximum principle proof clarification

Published on 09 Apr 2026 - 4:27

95

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Heat Equation with weird boundary conditions

Published on 10 Apr 2026 - 3:37

208

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PDE $u_t = f - u_x - u$ of a heating system

Published on 25 Mar 2026 - 7:48

List Question

$\int_0^{2\pi} \left| \sum_{n\in \mathbb N} e^{-nt} e^{in\theta} \right| d\theta \leq C(t) C'$?

Reference request with examples, finite difference method for $1D$ heat equation ,with mixed boundary conditions.

$u\in H^{1}_{0}$ and $\Delta u=1$ on $\Omega= (0,1)\times(0,1)$ then $u\notin C^{2}(\overline{\Omega})$

Vorticity equation of axi symmetric flow with swirl

Solution of fractional laplancian when $s\rightarrow 1^{-}$

Fourier transform of pde $u_t+\Delta^2 u=0$, $u(x,0)=u_0$

Solutions to $\Delta f - \partial_z f = 0$

Operator core of Dirichlet Laplacian

What is the transversality condition for Euler-Lagrange equations on a manifold?

Solving a PDE by wavelets

Steps to derive a weak formulation (streamline diffusion)

Re-writing a PDE in Hamiltonian form

Maximum principle proof clarification

Heat Equation with weird boundary conditions

PDE $u_t = f - u_x - u$ of a heating system

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