Skip to main content

All Questions

Filter by
Sorted by
Tagged with
7 votes
1 answer
597 views

Looking for an electronic copy of Holmgren's old paper

I would like to know if anyone has an electronic copy of the following paper: "Holmgren, E.: Über Systeme von linearen partiellen Differentialgleichungen. Översigt Vetensk. Akad. Handlingar 58, ...
Math's user avatar
  • 509
2 votes
1 answer
118 views

Reference request: uniqueness for a certain PDE systems

I'm working on a system of the following form: $$(1) \,\,\,\,\,\ \begin{cases} u_{tt} + L_1u + L_2v= f, \\ \nabla u - \nabla v - \nabla v_t=0 \end{cases} $$ where $u(x,t)$ and $v(x,t)$ belong to ...
user148939's user avatar
1 vote
0 answers
94 views

Reference request: existence/uniqueness of solutions to convection diffusion equations

I am looking for a reference wherein existence and uniqueness results are proven for a system of PDEs of the form $$ \frac{\partial Q}{\partial t} + A \frac{\partial Q}{\partial x} = f(Q,x,t) + \frac{...
Eddy's user avatar
  • 111
0 votes
0 answers
46 views

Uniqueness results for linear first order systems of PDEs

Context: I have the following system of PDEs, for an unknown function $u:\mathbb{R}^{n+1}\to \mathbb{C}^m$ (it is a system in the components of $u$): $$u_{x_0}=\sum_{i=1}^n A_iu_{x_i} + B(x)u\qquad u(...
Samuele's user avatar
  • 1,205