User guacho

10 votes

Accepted

integration by parts for the fractional Laplacian

answered May 15, 2013 at 11:32

5 votes

Blow up of solutions to parabolic PDEs

answered Sep 10, 2013 at 23:35

3 votes

Using Galerkin method for PDE with Neumann boundary condition?

answered Apr 15, 2013 at 18:39

2 votes

Solution formular for Laplace equation

answered May 23, 2013 at 13:01

2 votes

If $f \in H^{\frac 12}$ and $\varphi$ is Lipschitz, is $f\varphi \in H^{\frac 12}$ (on a Lipschitz hypersurface)?

answered Dec 27, 2013 at 17:43

2 votes

References for well-posedness of weak solutions to Stefan problem

answered Jan 17, 2014 at 8:02

2 votes

Accepted

Asking for Advices for Choosing a Ph.D thesis problem (in PDE area)

answered Nov 1, 2015 at 6:02

2 votes

Global wellposedness of the Cauchy problem for a third order PDE

answered Jul 4, 2017 at 14:46

1 vote

A moving boundary in rock mechanics

answered May 15, 2013 at 10:42

1 vote

Does $u_{t}=g(t)u_{x}^{2}$ blow-up for bounded positive g? What about $u_{t}=u_{xx}+g(t)u_{x}^{2}$?

answered Apr 8, 2016 at 6:25

1 vote

Accepted

Nonlocal (parabolic) PDEs in the Sobolev space setting

answered Mar 27, 2014 at 17:53

1 vote

weak solution of viscous Burgers equation with non-homogeneous Dirichlet boundary conditions

answered Oct 7, 2013 at 2:21

1 vote

Accepted

The logarithmic fast diffusion equation in one space variable with periodic boundary conditions.

answered May 25, 2013 at 13:01

1 vote

How to handle a scalar product in an integral?

answered May 15, 2013 at 22:30

0 votes

Heat integro - differential equation

answered May 15, 2013 at 10:20

0 votes

Heat equation with Neumann BC

answered May 15, 2013 at 10:35

0 votes

I have this linear PDE...

answered May 15, 2013 at 17:08

0 votes

Maximum of the solution of a parabolic PDE

answered Dec 19, 2013 at 19:52

0 votes

Blow-up for the quasilinear heat equation $u_t= u \ u_{x x}$ or the related $w_t= \left(w_x e^w\right)_x$

answered Jan 12, 2014 at 19:36

0 votes

How to use Gronwall's inequality?

answered Mar 29, 2016 at 22:28

-1 votes

Variation on Fatou's lemma for Sobolev norms

answered May 16, 2013 at 10:25

Stack Exchange Network

21 Answers

integration by parts for the fractional Laplacian

Blow up of solutions to parabolic PDEs

Using Galerkin method for PDE with Neumann boundary condition?

Solution formular for Laplace equation

If $f \in H^{\frac 12}$ and $\varphi$ is Lipschitz, is $f\varphi \in H^{\frac 12}$ (on a Lipschitz hypersurface)?

References for well-posedness of weak solutions to Stefan problem

Asking for Advices for Choosing a Ph.D thesis problem (in PDE area)

Global wellposedness of the Cauchy problem for a third order PDE

A moving boundary in rock mechanics

Does $u_{t}=g(t)u_{x}^{2}$ blow-up for bounded positive g? What about $u_{t}=u_{xx}+g(t)u_{x}^{2}$?

Nonlocal (parabolic) PDEs in the Sobolev space setting

weak solution of viscous Burgers equation with non-homogeneous Dirichlet boundary conditions

The logarithmic fast diffusion equation in one space variable with periodic boundary conditions.

How to handle a scalar product in an integral?

Heat integro - differential equation

Heat equation with Neumann BC

I have this linear PDE...

Maximum of the solution of a parabolic PDE

Blow-up for the quasilinear heat equation $u_t= u \ u_{x x}$ or the related $w_t= \left(w_x e^w\right)_x$

How to use Gronwall's inequality?

Variation on Fatou's lemma for Sobolev norms