List questions from linear-pde

Published on 12 Jan 2019 - 7:55

169

Views

Partial differential equation in Lagrange form.

Published on 13 Jan 2019 - 5:12

54

Views

Basic question about a first-order linear equation

Published on 25 Mar 2026 - 7:39

416

Views

Characteristics for nonhomogeneous wave equation $y_{tt}=y_{xx} + f$

Published on 25 Mar 2026 - 11:54

815

Views

PDE with complex roots of characterictic solution

Published on 19 Jan 2019 - 5:27

1.6k

Views

Classifying linear first-order PDE system (elliptic, hyperbolic, or parabolic)

Published on 21 Jan 2019 - 21:03

732

Views

Is it useful to convert a higher order PDE into a 1st order system?

Published on 25 Mar 2026 - 3:20

175

Views

Uniqueness: linear first order pde with constant coefficients

Published on 25 Mar 2026 - 13:32

666

Views

Reducing Second order PDE System to First-Order

Published on 29 Jan 2019 - 4:04

36

Views

Solution to simple linear 2nd order partial differential equation with boundary conditions

Published on 01 Feb 2019 - 2:57

297

Views

One-way wave equation IBVP

Published on 25 Mar 2026 - 6:09

656

Views

Showing scheme is consistent with PDE $v_t+v_x = 0$

Published on 10 Feb 2019 - 22:34

577

Views

What does constant along characteristic mean

Published on 24 Mar 2026 - 21:59

108

Views

Can we say anything about the first distributional derivatives of $g$, where $g$ is the solution to $-\Delta g =f\in L^p$ given by Riesz potential?

Published on 15 Feb 2019 - 22:46

138

Views

Can we extend the Riesz potential convolution operator for the Laplacian to a continuous operator from $L^p$ to $\mathcal{S}'$ if $p\ge\frac{n}{2}$?

Published on 25 Mar 2026 - 1:38

List Question

PDE with some variables absent

Partial differential equation in Lagrange form.

Basic question about a first-order linear equation

Characteristics for nonhomogeneous wave equation $y_{tt}=y_{xx} + f$

PDE with complex roots of characterictic solution

Classifying linear first-order PDE system (elliptic, hyperbolic, or parabolic)

Is it useful to convert a higher order PDE into a 1st order system?

Uniqueness: linear first order pde with constant coefficients

Reducing Second order PDE System to First-Order

Solution to simple linear 2nd order partial differential equation with boundary conditions

One-way wave equation IBVP

Showing scheme is consistent with PDE $v_t+v_x = 0$

What does constant along characteristic mean

Can we say anything about the first distributional derivatives of $g$, where $g$ is the solution to $-\Delta g =f\in L^p$ given by Riesz potential?

Can we extend the Riesz potential convolution operator for the Laplacian to a continuous operator from $L^p$ to $\mathcal{S}'$ if $p\ge\frac{n}{2}$?

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