List questions from partial-differential-equations

Published on 25 Mar 2026 - 6:11

50

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The geometric intepretation behind introducing auxiliary function in weak maximum principle

Published on 25 Mar 2026 - 3:07

65

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Different equation general solution

Published on 06 Apr 2026 - 2:17

56

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How to show that $T(t), t\geq 0$ is strongly continuous? Is $\{T(t):t\geq 0\}$ a contraction semi-group?

Published on 29 Mar 2026 - 18:33

124

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Wave equation derivation

Published on 26 Mar 2026 - 20:26

67

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Chain rule for radial and angular coordinates in higher dimension

Published on 27 Mar 2026 - 7:36

229

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How to enforce Dirichlet boundary conditions using FEM without knowing surface nodes?

Published on 24 Mar 2026 - 22:01

363

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Discrete spectrum for Schrodinger equation

Published on 17 Jun 2018 - 10:54

118

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change of variable for surface integral in the proof of mean value property of harmonic function

Published on 27 Mar 2026 - 7:35

104

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Unique solution to PDEs

Published on 18 Jun 2018 - 1:07

161

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Determine solutions of the Jacobi-Hamilton problem $u_{t}+|u_x|^{2}=0$

Published on 02 Apr 2026 - 0:13

55

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Suppose $V\in L^2({\mathbb{R}^3})$, how to show that $\lim_{\lambda\to\infty} \Vert V(-\Delta+\lambda)^{-1}\Vert =0$

Published on 29 Mar 2026 - 16:47

109

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Equivalence of Wave Equation Notation

Published on 25 Mar 2026 - 4:36

35

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Greensfunction symmetric with respect to arguments

Published on 25 Mar 2026 - 17:36

191

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Gradient of harmonic function matching with $C^2$ function on boundary is bounded by gradient of function

Published on 25 Mar 2026 - 12:55

List Question

Fokker-Planck equation applied to $\lvert x\rvert^2$

The geometric intepretation behind introducing auxiliary function in weak maximum principle

Different equation general solution

How to show that $T(t), t\geq 0$ is strongly continuous? Is $\{T(t):t\geq 0\}$ a contraction semi-group?

Wave equation derivation

Chain rule for radial and angular coordinates in higher dimension

How to enforce Dirichlet boundary conditions using FEM without knowing surface nodes?

Discrete spectrum for Schrodinger equation

change of variable for surface integral in the proof of mean value property of harmonic function

Unique solution to PDEs

Determine solutions of the Jacobi-Hamilton problem $u_{t}+|u_x|^{2}=0$

Suppose $V\in L^2({\mathbb{R}^3})$, how to show that $\lim_{\lambda\to\infty} \Vert V(-\Delta+\lambda)^{-1}\Vert =0$

Equivalence of Wave Equation Notation

Greensfunction symmetric with respect to arguments

Gradient of harmonic function matching with $C^2$ function on boundary is bounded by gradient of function

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