Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with ca.classical-analysis-and-odes
Search options not deleted
user 102946
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
8
votes
Accepted
Dominated convergence 2.0?
Counterexample. Let $f: \mathbb{R} \to \mathbb{R}$ denote your favourite test function with support in $(0,1)$ and with integral $1$. We define $f_n(x) := n f(nx)$ for all $n \in \mathbb{N}$ and all $ …
- 12.5k
36
votes
3
answers
3k
views
What do we learn from the Wronskian in the theory of linear ODEs?
For a real interval $I$ and a continuous function $A: I \to \mathbb{R}^{d\times d}$, let $(x_1, \dots, x_d)$ denote a basis of the solution space of the non-autonomous ODE
$$
\dot x(t) = A(t) x(t) \ …
- 12.5k
12
votes
Accepted
Are all positive eigenfunctions principal eigenfunctions?
Answer. Yes, for appropriate boundary conditions (e.g., Dirichlet or Neumann) the Laplace operator on bounded domains with sufficiently smooth boundary has no positive eigenfuntions, except for those …
- 12.5k
4
votes
Accepted
Linear transport equation with Lipschitz conditions
The anwer is yes.
Preliminary observations:
Let us first consider the case $p=0$.
Since $q$ is globally Lipschitz on $\mathbb{R}^n$, say with Lipschitz constant $L$, all solutions of the ODE $\dot x = …
- 12.5k