List questions from partial-differential-equations

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Find a solution $g(x)$ that satisfies the PDE $u_x +3u_y-u = 1$.

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List Question

$\nabla \cdot f + w \cdot f = 0$

What is wrong in solving this pde?

PDEs Diffusion eq dirichlet BC

Is it true that $L^2$ is compactly embedded in $(W^{1,2}_{0})^{\ast}$?

What can you say about f if g is harmonic?

Find a solution $g(x)$ that satisfies the PDE $u_x +3u_y-u = 1$.

How to prove that the L2 norm is a non-increasing function of time for a 2nd-order PDE?

The use of Schauder fixed point in ladyzehskaya

Differential Equation for brownian bridge?

Please explain Evans 's PDE Liouville 's Theorem

Improve Liouville's Theorem in Evans ' PDE

First order partial differential equations in complex domain

Solving an elementary PDE using characteristic equations.

Proof for Neumann boundary PDE

General solution to PDE

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