List questions from partial-differential-equations

Published on 28 Mar 2026 - 13:40

235

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Variational problem of Laplace equation

Published on 10 Apr 2026 - 0:02

81

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Stretched elastic band shape

Published on 12 Apr 2026 - 0:15

81

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Nonhomogeneous Semi-Linear PDE with the Characteristic Method

Published on 25 Mar 2026 - 10:15

2.5k

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General solution to Wave Equation (algebraic approach)

Published on 09 Apr 2026 - 11:02

1.1k

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Showing that the energy of the wave equation in $\mathbb R^d$ is constant

Published on 12 Apr 2026 - 1:11

72

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Holder continuity of the derivate of $|x|^\alpha$ for $\alpha>1$

Published on 12 Apr 2026 - 21:38

150

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Domain of definition for $u_x + uu_y = 1$

Published on 25 Mar 2026 - 10:21

339

Views

Poisson equation on semi-infinite strip

Published on 11 Apr 2026 - 11:35

64

Views

Eigenfunctions for Laplacian on increasing domains

Published on 12 Apr 2026 - 21:08

133

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How can the method of spherical means be used to prove uniqueness of the wave equation?

Published on 11 Apr 2026 - 10:12

83

Views

Let $v(x) = \int_{B(0,R)} \frac{c}{||x-y||^{n-2}}\mathrm{d}y$. Show that for $x \in B(0,R)^c$ we have $v(x) = c_1||x||^{2-n} + c_0$

Published on 25 Mar 2026 - 18:50

851

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Meaning of quasi-linear PDE (Where is linearity in quasi-linear PDE?)

Published on 11 Apr 2026 - 16:36

278

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Continuous embedding of weighted Lebesgue space

Published on 11 Apr 2026 - 2:16

147

Views

How can a discontinuous function belong to $C_B^1(\Omega)$, the space of continuous functions $u$ with bounded derivatives?

Published on 12 Apr 2026 - 7:26

List Question

a question about Differential quotient operator in sobolev spaces

Variational problem of Laplace equation

Stretched elastic band shape

Nonhomogeneous Semi-Linear PDE with the Characteristic Method

General solution to Wave Equation (algebraic approach)

Showing that the energy of the wave equation in $\mathbb R^d$ is constant

Holder continuity of the derivate of $|x|^\alpha$ for $\alpha>1$

Domain of definition for $u_x + uu_y = 1$

Poisson equation on semi-infinite strip

Eigenfunctions for Laplacian on increasing domains

How can the method of spherical means be used to prove uniqueness of the wave equation?

Let $v(x) = \int_{B(0,R)} \frac{c}{||x-y||^{n-2}}\mathrm{d}y$. Show that for $x \in B(0,R)^c$ we have $v(x) = c_1||x||^{2-n} + c_0$

Meaning of quasi-linear PDE (Where is linearity in quasi-linear PDE?)

Continuous embedding of weighted Lebesgue space

How can a discontinuous function belong to $C_B^1(\Omega)$, the space of continuous functions $u$ with bounded derivatives?

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