List questions from partial-differential-equations

Published on 12 Apr 2026 - 3:26

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extension of Legendre transform of a function to a larger domain

Published on 12 Apr 2026 - 4:43

178

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About the classical mountain pass theorem

Published on 12 Apr 2026 - 4:35

289

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Can I apply Lions--Aubin lemma on $X_0 \subset X \subset X_1$ with $X\equiv X_1$?

Published on 17 Apr 2026 - 14:24

2.5k

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Biharmonic equation boundary conditions

Published on 17 Apr 2026 - 22:49

1.6k

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$f\in W^{1,p}((0,1))$ is absolute continuous

Published on 16 Apr 2026 - 8:22

34

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Solving two equations for $p$ and $q$

Published on 16 Apr 2026 - 3:26

548

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$ \int_U |Du|^2\leq (\int_U u^2)^{1/2} (\int_U |D^2 u|^2 )^{1/2}$ for $u\in H^1_0(U)\cap H^2(U)$

Published on 15 Apr 2026 - 19:58

43

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Property of compactly supported domain

Published on 11 Apr 2026 - 18:51

164

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Inner Product Representation of Functional on $H^1_0$

Published on 14 Apr 2026 - 12:05

679

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Method of characteristics for quasi linear PDE

Published on 11 Apr 2026 - 16:37

254

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A bound in Sobolev spaces of negative order

Published on 13 Apr 2026 - 23:58

115

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An object is travelling in a straight line. Its distance, s meters, from a fixed point at time t seconds is given by the expression

Published on 14 Apr 2026 - 20:04

63

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If $u \in L^2(0,T;L^2)$ and $u' \in L^2(0,T;H^{-1})$, is $u \in C^0([0,T];V)$ for some space $V$?

Published on 11 May 2026 - 10:11

1k

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Resolvent of the Laplacian

Published on 14 Apr 2026 - 18:33

List Question

Calculating Legendre Transform

extension of Legendre transform of a function to a larger domain

About the classical mountain pass theorem

Can I apply Lions--Aubin lemma on $X_0 \subset X \subset X_1$ with $X\equiv X_1$?

Biharmonic equation boundary conditions

$f\in W^{1,p}((0,1))$ is absolute continuous

Solving two equations for $p$ and $q$

$ \int_U |Du|^2\leq (\int_U u^2)^{1/2} (\int_U |D^2 u|^2 )^{1/2}$ for $u\in H^1_0(U)\cap H^2(U)$

Property of compactly supported domain

Inner Product Representation of Functional on $H^1_0$

Method of characteristics for quasi linear PDE

A bound in Sobolev spaces of negative order

An object is travelling in a straight line. Its distance, s meters, from a fixed point at time t seconds is given by the expression

If $u \in L^2(0,T;L^2)$ and $u' \in L^2(0,T;H^{-1})$, is $u \in C^0([0,T];V)$ for some space $V$?

Resolvent of the Laplacian

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