User Kira Yamato

6 votes

1 answer

128 views

An example of a function not in $L^2$ but such that $\int_{E} f dm\leq \sqrt{m(E)}$ for every set $E$

asked Dec 9, 2014 at 5:34

6 votes

1 answer

1k views

Riemann problem of nonconvex scalar conservation laws

partial-differential-equations hyperbolic-equations

asked Nov 27, 2017 at 8:44

5 votes

2 answers

513 views

Find the number of polynomial zeros of $z^4-7z^3-2z^2+z-3=0$.

real-analysis complex-analysis polynomials roots

asked Dec 28, 2014 at 15:38

4 votes

1 answer

639 views

Convex hull of convex set boundary

convex-analysis

asked Mar 24, 2015 at 8:33

4 votes

1 answer

284 views

Exercise on Rudin about $R^2$ measurable

real-analysis measure-theory lebesgue-measure

asked Nov 11, 2014 at 15:07

3 votes

1 answer

149 views

Evaluating $\int_{-\infty}^{\infty} \frac{\cos x}{1+x^2} e^{-ixt} \,\mathrm dx$

integration complex-analysis improper-integrals

asked Dec 5, 2014 at 12:29

3 votes

1 answer

1k views

Problem on Big Rudin about Fourier Transform

real-analysis fourier-analysis

asked Nov 6, 2014 at 6:49

3 votes

2 answers

413 views

Iteration of analytic function

complex-analysis

asked Dec 29, 2014 at 12:02

3 votes

1 answer

2k views

Evans' proof of parabolic strong maximum principle

partial-differential-equations

asked Jan 19, 2015 at 3:30

3 votes

0 answers

38 views

Gradient control by div and curl

vector-analysis

asked Dec 17, 2015 at 1:03

3 votes

1 answer

204 views

logarithmic sobolev inequalities

partial-differential-equations sobolev-spaces

asked Apr 29, 2015 at 6:00

3 votes

2 answers

178 views

About a function in homogeneous Sobolev spaces

partial-differential-equations sobolev-spaces

asked Apr 7, 2018 at 4:01

3 votes

2 answers

106 views

A topology question on circle

general-topology

asked Feb 26, 2019 at 2:38

3 votes

2 answers

118 views

Find a limit as product of cos

calculus limits

asked Mar 16 at 3:16

2 votes

1 answer

516 views

Helmholtz Decomposition in Sobolev Space

sobolev-spaces vector-analysis

asked Oct 13, 2015 at 5:11

2 votes

0 answers

282 views

About a trace inequality

inequality partial-differential-equations sobolev-spaces

asked Oct 12, 2016 at 3:20

2 votes

0 answers

136 views

Problem about deformation theorem

partial-differential-equations calculus-of-variations

asked Jan 29, 2015 at 1:15

2 votes

1 answer

111 views

Two linear independent functions have zero Wronski

calculus ordinary-differential-equations

asked Jan 5, 2015 at 13:38

2 votes

1 answer

189 views

About fractional Sobolev space

reference-request partial-differential-equations sobolev-spaces

asked Apr 25, 2015 at 2:37

2 votes

2 answers

1k views

Continuity of subdifferential mapping

convex-analysis optimal-transport

asked Apr 13, 2015 at 7:44

2 votes

1 answer

76 views

On the boundary of a region

geometry differential-geometry

asked Feb 7, 2015 at 11:22

2 votes

1 answer

667 views

$L^2$ estimate of heat equation solution

partial-differential-equations

asked Feb 8, 2015 at 1:50

2 votes

1 answer

76 views

Question in Fanghua Lin's elliptic PDE

partial-differential-equations

asked Feb 11, 2015 at 13:30

2 votes

2 answers

53 views

Understanding the limit $\lim_{t \to \infty} \int_0^\infty \frac{t}{t^2 + x} \sin(1/x)dx$

real-analysis integration

asked Dec 6, 2014 at 1:07

2 votes

1 answer

60 views

Estimate the minimum of a degree 2007 polynomial on circle

complex-analysis

asked Dec 10, 2014 at 7:34

2 votes

0 answers

124 views

Find number of zeros in half plane

complex-analysis

asked Nov 17, 2014 at 2:52

1 vote

2 answers

109 views

Prove this $\sup f_n$ has infinite integral

real-analysis

asked Nov 22, 2014 at 0:53

1 vote

2 answers

65 views

If $F$ is the distribution function of an $L^p$ function, then $\lambda^p F(\lambda)\to0$ as $\lambda\to0$

real-analysis lp-spaces

asked Dec 5, 2014 at 3:00

1 vote

1 answer

75 views

Transcendental entire function

complex-analysis limits

asked Nov 16, 2014 at 3:08

1 vote

1 answer

398 views

Apply the theorem of tubular neighborhood

differential-topology

asked Oct 11, 2014 at 3:49

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63 Questions

An example of a function not in $L^2$ but such that $\int_{E} f dm\leq \sqrt{m(E)}$ for every set $E$

Riemann problem of nonconvex scalar conservation laws

Find the number of polynomial zeros of $z^4-7z^3-2z^2+z-3=0$.

Convex hull of convex set boundary

Exercise on Rudin about $R^2$ measurable

Evaluating $\int_{-\infty}^{\infty} \frac{\cos x}{1+x^2} e^{-ixt} \,\mathrm dx$

Problem on Big Rudin about Fourier Transform

Iteration of analytic function

Evans' proof of parabolic strong maximum principle

Gradient control by div and curl

logarithmic sobolev inequalities

About a function in homogeneous Sobolev spaces

A topology question on circle

Find a limit as product of cos

Helmholtz Decomposition in Sobolev Space

About a trace inequality

Problem about deformation theorem

Two linear independent functions have zero Wronski

About fractional Sobolev space

Continuity of subdifferential mapping

On the boundary of a region

$L^2$ estimate of heat equation solution

Question in Fanghua Lin's elliptic PDE

Understanding the limit $\lim_{t \to \infty} \int_0^\infty \frac{t}{t^2 + x} \sin(1/x)dx$

Estimate the minimum of a degree 2007 polynomial on circle

Find number of zeros in half plane

Prove this $\sup f_n$ has infinite integral

If $F$ is the distribution function of an $L^p$ function, then $\lambda^p F(\lambda)\to0$ as $\lambda\to0$

Transcendental entire function

Apply the theorem of tubular neighborhood