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John's user avatar
John
  • Member for 10 years, 5 months
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19 votes
2 answers
3k views

How to understand/remember Hölder's inequality

16 votes
0 answers
278 views

Regularity of parabolic PDEs for large $\lambda$

10 votes
7 answers
3k views

Does homeomorphic to itself imply the same topology?

8 votes
1 answer
1k views

Prove the set of transcendental number is dense in $\mathbb{R}$ using Baire category theorem

8 votes
0 answers
321 views

Gagliardo–Nirenberg–Sobolev inequality for weighted Sobolev space with exponential weights

8 votes
2 answers
868 views

Sufficient condition for convex conjugate to be second-order differentiable

7 votes
1 answer
1k views

Ito formula for integrable stopping time

7 votes
2 answers
250 views

Condition for trigonometric inequality

6 votes
1 answer
2k views

Can every open set of $\mathbb{R}$ be written as countable union of disjoint open bounded intervals?

5 votes
2 answers
3k views

Equivalence for Christoffel symbol and Koszul formula

5 votes
0 answers
55 views

weak solution to non-homogeneous initial-boundary value problem

4 votes
1 answer
59 views

Injectivity condition of parametrised statistical manifold

4 votes
1 answer
319 views

Lipschitz continuity of square root of sum of matrix squares

4 votes
2 answers
112 views

Asymptotic expansion of $\int_0^1 e^{x(tp-\frac{1}{2}t^2)}dt$ as $x\to\infty$ for different $p$

4 votes
1 answer
1k views

The difference between Riemann integrable function and Lebesgue integrable function

4 votes
1 answer
75 views

How to tell which function's Fourier series to use in order to calculate the value of series.

4 votes
1 answer
983 views

Can piecewise $C^{1}$ on $[a,b]$ imply Lipschitz continuity

4 votes
0 answers
494 views

Integration with respect to signed measure and Radon Nikodym theorem

4 votes
1 answer
2k views

How to interpret the covariance matrix of Brownian motion

4 votes
2 answers
1k views

Prove increment of Brownian motion is Brownian motion

4 votes
2 answers
737 views

Conditional expectation of $E(\max(X,a)\mid\min(X,a))$ when $X$ is exponentially distributed

3 votes
0 answers
71 views

For Ito diffusion, what is the difference between two measures $Q^x$ and $P$? [closed]

3 votes
1 answer
70 views

Prove continuity of averaging function for integrable $f$

3 votes
1 answer
118 views

Given independence, bound $E|X|^p$ by $E|X+Y|^p$

3 votes
0 answers
92 views

Is the generated semigroup by an elliptic operator be the transition semigroup?

3 votes
1 answer
38 views

Error term between $f(x)$, its average value and value at midpoint

3 votes
3 answers
213 views

Uniform bounded of Riemann-like sum and improper integral

3 votes
1 answer
291 views

Prove the local expression of Riemannian curvature tensor

3 votes
0 answers
710 views

Prove difference quotient converges to weak derivative in $L^p$

3 votes
3 answers
363 views

$f\in M(\mathbb{R})$ but $\hat{f}$ is not

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