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 |
Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
0
votes
Maximum of the solution of a parabolic PDE
As the initial data is perfectly smooth, I think that it is easy to apply the standard energy method to obtain a local in time existence in $H^s$ for any $s>0$. Take $s=3$. Then $g(t)=u(x^*,t)$ is a L …
1
vote
weak solution of viscous Burgers equation with non-homogeneous Dirichlet boundary conditions
Try to substract $g(x)=\alpha-x(\alpha-\beta)$. Now the dirichlet conditions of the new unknown $h=\rho-g$ are homogeneous. The new problem is
$$
\partial_t h=\partial_u^2h-E\partial_u f(h)+F(g).
$$ …
1
vote
Accepted
The logarithmic fast diffusion equation in one space variable with periodic boundary conditi...
Maybe this book is a good choice: http://ukcatalogue.oup.com/product/9780198569039.do#.UaC1zPER0uU
In the web of the author (http://www.uam.es/personal_pdi/ciencias/jvazquez/coursejlv.html) you can d …
2
votes
1
answer
1k
views
Strong convergence in the Bochner space L^p([0,T],X)
Dear mathoverflowers, I have a question concerning the strong convergence in $L^p([0,T],X)$.
Let $X_1,X$ be two Banach spaces such that $X_1\subset X$ with compact embedding. Let $x_n(t)\in X_1$ be …