List questions from partial-differential-equations

Published on 15 Apr 2026 - 20:55

567

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Uniqueness for PDE solutions on the space of distributions

Published on 12 Apr 2026 - 23:42

648

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How to obtain the characteristics equation for the inviscid Burgers equation?

Published on 10 Apr 2026 - 11:16

51

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Determining distribution of temperature inside a sphere by distribution on its surface.

Published on 09 Apr 2026 - 11:14

124

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How to prove Green's function of $\partial_x^2 + \partial_y^2$ is $\frac{1}{2\pi}\log(\sqrt{x^2+y^2})$?

Published on 13 Apr 2026 - 19:50

588

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Why we study abstract differential equations in Banach and Hilbert spaces?

Published on 11 Apr 2026 - 20:39

121

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Green function for first order PDE

Published on 11 Apr 2026 - 10:05

80

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Characteristics of second-order linear PDE

Published on 13 Apr 2026 - 15:07

243

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PDE Regularity Theory - Brezis

Published on 11 Apr 2026 - 20:10

80

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finding a solution for a PDE equation

Published on 09 Apr 2026 - 9:02

59

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A nonlinear system of differential equations

Published on 15 Apr 2026 - 2:07

81

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$\nabla u=0~ a.e.\Rightarrow u=\text{constant}~ a.e. $ on Riemannian manifold

Published on 15 Apr 2026 - 9:57

570

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Understanding the Poincaré cone condition and its intuition (in probabilistic solutions to PDEs)

Published on 11 Apr 2026 - 14:11

77

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Find $u$ such that $\frac{\partial^2u}{\partial x²}+\frac{\partial^2u}{\partial y^2}=1$ in $r<a$ and $u=0$ in $r=a$

Published on 15 Apr 2026 - 4:33

55

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Example of function

Published on 11 Apr 2026 - 17:39

List Question

Energy estimate for a pde

Uniqueness for PDE solutions on the space of distributions

How to obtain the characteristics equation for the inviscid Burgers equation?

Determining distribution of temperature inside a sphere by distribution on its surface.

How to prove Green's function of $\partial_x^2 + \partial_y^2$ is $\frac{1}{2\pi}\log(\sqrt{x^2+y^2})$?

Why we study abstract differential equations in Banach and Hilbert spaces?

Green function for first order PDE

Characteristics of second-order linear PDE

PDE Regularity Theory - Brezis

finding a solution for a PDE equation

A nonlinear system of differential equations

$\nabla u=0~ a.e.\Rightarrow u=\text{constant}~ a.e. $ on Riemannian manifold

Understanding the Poincaré cone condition and its intuition (in probabilistic solutions to PDEs)

Find $u$ such that $\frac{\partial^2u}{\partial x²}+\frac{\partial^2u}{\partial y^2}=1$ in $r<a$ and $u=0$ in $r=a$

Example of function

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