Skip to main content
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
Search options not deleted user 33135

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 …
guacho's user avatar
  • 843
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 $$ \partial_t h=\partial_u^2h-E\partial_u f(h)+F(g). $$ …
guacho's user avatar
  • 843
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 …
guacho's user avatar
  • 843
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 …
guacho's user avatar
  • 843