List questions from partial-differential-equations

Published on 10 Apr 2026 - 21:21

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question on PDE with chain rule

Published on 13 Apr 2026 - 13:31

413

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Is this right way to prove Riemann mapping theorem?

Published on 14 Apr 2026 - 12:21

319

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Elliptic PDE on the Whole Space

Published on 11 May 2026 - 3:01

105

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general existence theorem of nonlinear parabolic PDE on a unit circle

Published on 09 Apr 2026 - 17:25

370

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Solving a wave equation: $a^2\frac{\partial^2 u}{\partial x^2}=\frac{\partial^2 u}{\partial t^2}$

Published on 16 Apr 2026 - 19:14

145

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Hölder continuity for parabolic equations

Published on 11 May 2026 - 4:32

49

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Inequality $\Big\| f_1(x) \overline{f_2(x)} |f_3 (x)|\Big\|_{H^1(\mathbb R)} \le C\|f(x)\|_{L^\infty(\mathbb R)}^2 \|f(x)\|_{H^1(\mathbb R)}$

Published on 16 Apr 2026 - 3:38

327

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Canonical form 2nd order PDE

Published on 17 Apr 2026 - 4:22

470

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Using a change of variable to reduce a linear 2nd-order PDE to a 1st-order PDE

Published on 15 Apr 2026 - 14:25

142

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Is this PDE not solvable using characteristic lines?

Published on 13 Apr 2026 - 2:34

154

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Equations in two variables for second-order hyperbolic PDE

Published on 11 May 2026 - 4:13

271

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How to show that a delta function solution to a PDE (Fokker-Planck) is really a solution

Published on 10 Apr 2026 - 17:35

351

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Relation between different forms of Cauchy-Kovalevskaya Theorem

Published on 12 Apr 2026 - 2:59

258

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Helmholtz decomposition and the fundamental solution

Published on 11 Apr 2026 - 11:22

List Question

Deriving an estimate in regularity theory of the heat equation

question on PDE with chain rule

Is this right way to prove Riemann mapping theorem?

Elliptic PDE on the Whole Space

general existence theorem of nonlinear parabolic PDE on a unit circle

Solving a wave equation: $a^2\frac{\partial^2 u}{\partial x^2}=\frac{\partial^2 u}{\partial t^2}$

Hölder continuity for parabolic equations

Inequality $\Big\| f_1(x) \overline{f_2(x)} |f_3 (x)|\Big\|_{H^1(\mathbb R)} \le C\|f(x)\|_{L^\infty(\mathbb R)}^2 \|f(x)\|_{H^1(\mathbb R)}$

Canonical form 2nd order PDE

Using a change of variable to reduce a linear 2nd-order PDE to a 1st-order PDE

Is this PDE not solvable using characteristic lines?

Equations in two variables for second-order hyperbolic PDE

How to show that a delta function solution to a PDE (Fokker-Planck) is really a solution

Relation between different forms of Cauchy-Kovalevskaya Theorem

Helmholtz decomposition and the fundamental solution

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