List questions from linear-pde

Published on 11 Apr 2026 - 10:21

172

Views

Partial differential equation in Lagrange form.

Published on 11 Apr 2026 - 7:56

56

Views

Basic question about a first-order linear equation

Published on 10 May 2026 - 12:29

418

Views

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

Published on 14 Apr 2026 - 23:19

818

Views

PDE with complex roots of characterictic solution

Published on 11 Apr 2026 - 1:54

1.6k

Views

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

Published on 15 Apr 2026 - 8:29

734

Views

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

Published on 09 Apr 2026 - 21:07

177

Views

Uniqueness: linear first order pde with constant coefficients

Published on 13 Apr 2026 - 11:47

668

Views

Reducing Second order PDE System to First-Order

Published on 09 Apr 2026 - 12:24

39

Views

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

Published on 15 Apr 2026 - 8:24

300

Views

One-way wave equation IBVP

Published on 10 May 2026 - 12:31

659

Views

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

Published on 14 Apr 2026 - 22:34

583

Views

What does constant along characteristic mean

Published on 10 May 2026 - 11:39

111

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 12 Apr 2026 - 17:01

139

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 10 May 2026 - 18:28

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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