User Hiro - MathOverflow

Hiro

Member for 3 years, 11 months
Last seen more than a month ago

12 Questions

Score Activity Newest Views

5 votes

2 answers

109 views

Prove that $K \ast f \in W^{1,\infty}(\mathbb R)$ if $K \in BV(\mathbb R)$

asked Jan 9, 2021 at 0:13

3 votes

1 answer

193 views

A special approximation of the Heaviside function

asked Jan 25, 2021 at 18:35

2 votes

0 answers

43 views

Kolmogorov $\epsilon$-entropy, $n$-width, and $\epsilon$-capacity and applications

asked Oct 16, 2022 at 12:17

1 vote

1 answer

120 views

Functions such that $ \Vert\tfrac{d^4}{dx^4}f\Vert_{L^2(0,1)} < \sqrt{2} \Vert f \Vert_{L^1(0,1)}$

asked Jan 25, 2021 at 9:23

1 vote

0 answers

105 views

Series and solution of $-\Delta u + \lambda u = f(x)$

asked Feb 17, 2021 at 12:41

1 vote

2 answers

196 views

How can I prove that $(I+\lambda G)$ is invertible, where $G$ is the Green function of an elliptic operator?

asked Feb 22, 2021 at 22:24

1 vote

0 answers

43 views

Uniform bound on the measure of $\Omega_\delta = \Omega \cap \delta\mathbb Z^d$ if $\Omega$ is an open bounded set with Lipschitz boundary

asked Oct 16, 2022 at 10:08

1 vote

1 answer

257 views

Is $(f \ast K)'' \in L^1(\mathbb R)$ for $f \in L^1 \cap L^\infty(\mathbb R)$ and $K \in BV(\mathbb R)$?

asked Jan 9, 2021 at 13:23

1 vote

1 answer

394 views

Computing the fractional Laplacian of power function

asked May 22, 2020 at 11:25

0 votes

0 answers

49 views

$L^p$ estimate for perturbed heat equation

asked Dec 6, 2020 at 23:33

0 votes

1 answer

101 views

Functions for which $|f^{(k)}|_{C^{0,\alpha}(0,1)} \le \Vert f \Vert_{L^1(0,1)}$

asked Jan 24, 2021 at 22:58

-1 votes

1 answer

91 views

Is it true that $\nabla_x \int_0^\infty f(t,0) dt = 0 \implies \nabla_x f(t,0) = 0 \ \forall t>0$? [closed]

asked Feb 15, 2021 at 13:36