List questions from partial-differential-equations

Published on 13 Apr 2026 - 1:59

74

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$h(C) = \ln(x)$ on a characteristic curve of the PDE, but the question claims it has infinitely many solutions, How?

Published on 15 Apr 2026 - 11:49

39

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Reference Request: Mean Value Property over a ball in $R^n$ in Standard Coordinates

Published on 13 Apr 2026 - 5:25

367

Views

Existence and uniqueness for parabolic equations with Robin BCs

Published on 14 Apr 2026 - 10:44

88

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Derivation of the Fokker-Planck Equation from the Master Eq

Published on 11 Apr 2026 - 20:06

235

Views

Showing a Solution to a PDE Satisfies Boundary Conditions

Published on 13 Apr 2026 - 2:51

52

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Solve the initial value problem : $u_{xy}=6x^2y$ ,$u(x;0)=1-\cos x$ , $u(0;y)=3y^2$ .

Published on 17 Apr 2026 - 13:59

45

Views

Solve $u_{tt}=u_{xx}$ , $u(x,0)=1-2x+3x^2$, $t\gt0,-\infty\lt x\lt +\infty$

Published on 15 Apr 2026 - 23:11

324

Views

Gagliardo–Nirenberg–Sobolev inequality for weighted Sobolev space with exponential weights

Published on 14 Apr 2026 - 13:55

149

Views

Uniqueness of PDE Solution using Energy Method

Published on 11 Apr 2026 - 20:01

73

Views

Why do we use $\Omega$ to Represent a Subset of $\mathbb{R}^n$

Published on 12 Apr 2026 - 2:56

41

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How can I find the following one dimensional heat conduction solution?

Published on 10 Apr 2026 - 20:45

1.1k

Views

Comparison principle for heat equation

Published on 10 Apr 2026 - 22:17

1k

Views

Proof that $a\nabla^2 u = bu$ is the only homogenous second order 2D PDE unchanged/invariant by rotation

Published on 16 Apr 2026 - 4:30

353

Views

Existence of Classical Solution to $\square u + u = 0$ in unbounded domains

Published on 13 Apr 2026 - 14:38

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The Derivative of Function within a Function

$h(C) = \ln(x)$ on a characteristic curve of the PDE, but the question claims it has infinitely many solutions, How?

Reference Request: Mean Value Property over a ball in $R^n$ in Standard Coordinates

Existence and uniqueness for parabolic equations with Robin BCs

Derivation of the Fokker-Planck Equation from the Master Eq

Showing a Solution to a PDE Satisfies Boundary Conditions

Solve the initial value problem : $u_{xy}=6x^2y$ ,$u(x;0)=1-\cos x$ , $u(0;y)=3y^2$ .

Solve $u_{tt}=u_{xx}$ , $u(x,0)=1-2x+3x^2$, $t\gt0,-\infty\lt x\lt +\infty$

Gagliardo–Nirenberg–Sobolev inequality for weighted Sobolev space with exponential weights

Uniqueness of PDE Solution using Energy Method

Why do we use $\Omega$ to Represent a Subset of $\mathbb{R}^n$

How can I find the following one dimensional heat conduction solution?

Comparison principle for heat equation

Proof that $a\nabla^2 u = bu$ is the only homogenous second order 2D PDE unchanged/invariant by rotation

Existence of Classical Solution to $\square u + u = 0$ in unbounded domains

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