List questions from partial-differential-equations

Published on 22 Mar 2026 - 14:55

585

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Ellipticity of the Laplacian and Positive-Definiteness

Published on 21 Mar 2026 - 23:49

42

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PDE equation in 3rd dim

Published on 11 Feb 2018 - 0:38

1k

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heat equation initial boundary value problem $u_x (0,t) = u_x (3,t) = 0$ and $u(x,0) = 3 + \cos(2\pi x)$

Published on 11 Feb 2018 - 19:08

42

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Some clarification

Published on 11 Feb 2018 - 20:40

497

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Solve the PDE by factoring

Published on 11 Feb 2018 - 21:32

243

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Showing that $v$ also satisfied the wave equation

Published on 24 Mar 2026 - 23:44

1.5k

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Does the laplacian operator work on time as well as spacial variables?

Published on 20 Mar 2026 - 8:54

339

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Why the operator is termed as Ornstein–Uhlenbeck operator?

Published on 25 Mar 2026 - 6:05

98

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Physical Interpretation of Steady State or Equilibrium Temperature.

Published on 25 Mar 2026 - 21:42

82

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Finding minimum traveling wave solutions to Fisher's equations

Published on 25 Mar 2026 - 14:45

263

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Find the Green's function $G(\mathbf{x},\xi)$, such that $\nabla^2G = \delta(\mathbf{x}-\xi)$

Published on 31 Mar 2026 - 23:53

164

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Solve the PDE $u_{tt}=u_{xx}+\sin t$ by separation of variables.

Published on 12 Feb 2018 - 18:59

125

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Consider this Cauchy Problem

Published on 30 Mar 2026 - 22:11

163

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$\mathbb{1}_{B_1(0)}$ doesn't have a $\partial_{x_i}$weak derivative in $\mathbb{R}^n$

Published on 25 Mar 2026 - 2:38

List Question

Why can we assume that these eignenfunctions are known, in the Sturm-Liouville problem?

Ellipticity of the Laplacian and Positive-Definiteness

PDE equation in 3rd dim

heat equation initial boundary value problem $u_x (0,t) = u_x (3,t) = 0$ and $u(x,0) = 3 + \cos(2\pi x)$

Some clarification

Solve the PDE by factoring

Showing that $v$ also satisfied the wave equation

Does the laplacian operator work on time as well as spacial variables?

Why the operator is termed as Ornstein–Uhlenbeck operator?

Physical Interpretation of Steady State or Equilibrium Temperature.

Finding minimum traveling wave solutions to Fisher's equations

Find the Green's function $G(\mathbf{x},\xi)$, such that $\nabla^2G = \delta(\mathbf{x}-\xi)$

Solve the PDE $u_{tt}=u_{xx}+\sin t$ by separation of variables.

Consider this Cauchy Problem

$\mathbb{1}_{B_1(0)}$ doesn't have a $\partial_{x_i}$weak derivative in $\mathbb{R}^n$

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