18 мая 2010 г. · If it's in H1 it's a.e. differentiable, with weak differential a.e. equal its differential, which for an indicator function is a.e. zero. So if ...

17 нояб. 2014 г. · How to modify a H1 weak convergence sequence so that I have the L2 equi-integrability of gradient? 4 · Looking for a reference or the procedure ...

10 янв. 2013 г. · L1 error between indicator function and smoothed out version · 2 · Equivalent characterization of weak derivative in Bochner space · Question ...

30 нояб. 2022 г. · ... weak derivatives, taking limits. – Pietro Majer. Commented Nov 30 ... Sobolev Space, "characteristic function" for the weak derivative · 4.

16 нояб. 2010 г. · ... derivatives proceeds via the theory of distributions. The weak derivative ∇1S of the indicator function of a smooth body S is equal to −nd ...

15 сент. 2010 г. · Once you know that the Weierstrass function f(x):=∑∞k=02−kcos(2kx) is nowhere differentiable, you also have that it is BV on no open interval, ...

7 мая 2020 г. · Weak divergence implies weak differentiability of components? 5 · Non-continuous higher differentiability · 4 · Differentiability: Partially ...

24 июл. 2015 г. · This means the weak derivative of u is always 0 on {u=0} no matter how crazy |∂{u>0}| is. Then by a well known but nontrivial result that ...

10 июн. 2010 г. · @Wadim: what weak limit do you mean? e−x/m is unbounded in L2 and so not weakly convergent. (And if you renormalize it, the weak limit is 0.).

2 нояб. 2021 г. · There seems to be a weakness to the approach with your (generalized) differential equation for v, because the Laplacian of the indicator ...