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riem
  • Member for 10 years, 8 months
  • Last seen more than 6 years ago
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question
6
Existence of an integral equation (Faedo-Galerkin, Banach fixed point, Picard-Lindelof)
May 27, 2014
question
3
A distributional normal derivative for functions in $H^1(\Omega)$
Sep 27, 2014
question
2
A comparison principle for parabolic equation
Apr 16, 2014
question
1
Getting an a priori bound on a nonlinear gradient term in PDE; how to adapt trick from $L^2$ case to $H^{-1}$ case?
Apr 8, 2014
question
1
A question about PDE argument involving monotone convergence theorem and Sobolev space
Jul 7, 2014
question
1
Equivalence of two definitions of weak solution (subtlety with null sets)
Apr 14, 2015
question
0
Want to show $\lim_{\epsilon \to 0}\frac{1}{\epsilon} \int_0^T \langle u_t(t), T_\epsilon(u(t)) \rangle = \int_\Omega |u(T)| - \int_\Omega |u(0)|$
Jun 23, 2014
question
0
Getting existence for $L^1$ data given existence for $L^\infty$ data and $L^1$ continuous dependence result
Jun 26, 2014
question
0
$b_n \rightharpoonup b$ in $L^q(Q) \forall q < \infty$, $b_n \to b$ in $C^0([0,T];H^{-1})$ implies $b_n(t) \rightharpoonup b(t)$ in $L^q(\Omega)$
Jun 29, 2014
question
0
Pointwise (in time) convergence in $H^{-1}$ implies pointwise weak convergence in $L^q$, why?
Jul 16, 2014
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6
Sobolev spaces and using monotone convergence theorem (don't understand a paper)
5
Chain rule for weak derivatives of $f(u)$ where $f'$ is not bounded but $u$ is?
5
Differentiation of norm in Banach space (explanation of text needed)