List questions from partial-differential-equations

Published on 10 Apr 2026 - 20:37

96

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Transport equation on the whole space $\mathbb{R}^3.$

Published on 25 Mar 2026 - 7:43

186

Views

Homogeneous Heat Equation Inequality

Published on 12 Apr 2026 - 0:13

257

Views

PDE Fourier transformation method regularity of solution

Published on 11 Apr 2026 - 13:56

1.3k

Views

Geometric interpretation and solution of Lagrange-Charpit equations

Published on 12 Apr 2026 - 21:39

679

Views

Application of the Arzela-Ascoli Theorem

Published on 13 Apr 2026 - 9:00

93

Views

Flow of vector fields with more than one parameters

Published on 13 Apr 2026 - 19:22

66

Views

Exponential decay of solution in $L^p$ with $p>2$

Published on 12 Apr 2026 - 23:36

178

Views

Monotonicity and asymptotics of the first eigenvalue of Laplace operator in annuli

Published on 11 Apr 2026 - 22:58

229

Views

Scaling in heat transfer PDE and dimensionless group

Published on 10 Apr 2026 - 10:12

1.6k

Views

Error in Crank-Nicolson scheme for diffusion equation

Published on 09 Apr 2026 - 11:49

1.1k

Views

Method of Characteristics - Lagrange-Charpit Equations

Published on 19 Apr 2026 - 3:36

540

Views

Trying to compute limit of singular integrals : $L= \lim_{s\to 1}(1-s)\int_{\Omega}\frac{(u(x)-u(y))}{|x-y|^{d+2s}} d y.$

Published on 25 Mar 2026 - 0:04

39

Views

Applying boundary conditions to PDE

Published on 14 Apr 2026 - 10:44

69

Views

Solving Equations of operators with the delta function (Example)

Published on 11 Apr 2026 - 16:35

List Question

Can anyone see what I've done wrong in solving this PDE?

Transport equation on the whole space $\mathbb{R}^3.$

Homogeneous Heat Equation Inequality

PDE Fourier transformation method regularity of solution

Geometric interpretation and solution of Lagrange-Charpit equations

Application of the Arzela-Ascoli Theorem

Flow of vector fields with more than one parameters

Exponential decay of solution in $L^p$ with $p>2$

Monotonicity and asymptotics of the first eigenvalue of Laplace operator in annuli

Scaling in heat transfer PDE and dimensionless group

Error in Crank-Nicolson scheme for diffusion equation

Method of Characteristics - Lagrange-Charpit Equations

Trying to compute limit of singular integrals : $L= \lim_{s\to 1}(1-s)\int_{\Omega}\frac{(u(x)-u(y))}{|x-y|^{d+2s}} d y.$

Applying boundary conditions to PDE

Solving Equations of operators with the delta function (Example)

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