List questions from partial-differential-equations

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Solving pde with initial condition

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Doubt about second variation calculation

Published on 09 Apr 2026 - 11:18

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Proving that a given $u$ is a solution to $u_{tt} = c^2 u_{xx}.$

Published on 16 Apr 2026 - 23:23

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On the solvability of the Dirichlet Problem $\Delta u =f$ for $f$ locally Holder continuous and $L^p$ for $p>n/2$

Published on 15 Apr 2026 - 12:08

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Confused about second-order difference scheme for non-linear PDE

Published on 12 Apr 2026 - 19:42

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Splitting a PDE into two subdomains: Regularity conditions at the interface point(s)

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inhomogeneous heat equation

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Pazy's book: Negation of $\overline{\lim}_{x\uparrow a}|f(x)|<\infty$?

Published on 15 Apr 2026 - 12:11

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Intuition or interpretation of the first term of the Mumford Shah functional in image processing

Published on 16 Apr 2026 - 2:44

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Burgers' Equation with Initial and Boundary Conditions

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List Question

Uniqueness of Cauchy problem

Solving pde with initial condition

Doubt about second variation calculation

Proving that a given $u$ is a solution to $u_{tt} = c^2 u_{xx}.$

On the solvability of the Dirichlet Problem $\Delta u =f$ for $f$ locally Holder continuous and $L^p$ for $p>n/2$

Confused about second-order difference scheme for non-linear PDE

Splitting a PDE into two subdomains: Regularity conditions at the interface point(s)

Heat equation PDE (nonhomogeneous); Green's function; Dirac delta

inhomogeneous heat equation

Pazy's book: Negation of $\overline{\lim}_{x\uparrow a}|f(x)|<\infty$?

Intuition or interpretation of the first term of the Mumford Shah functional in image processing

Burgers' Equation with Initial and Boundary Conditions

On the Bellman equation and smooth Value function

Weak solution for Burgers' equation

Wave equation on the half line with inhomogeneous Dirichlet boundary condition

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