User mathex

6 votes

0 answers

243 views

Global well posedness of $\phi^4_1$

asked Sep 27, 2023 at 1:44

5 votes

1 answer

205 views

Continuity dependence and convergence of the renormalized $\Phi^4_2$ model

asked Jun 14 at 23:35

5 votes

0 answers

411 views

Is it really interesting to prove well-posedness of unsolved SPDE?

asked Sep 25 at 0:16

4 votes

0 answers

113 views

SPDE Renormalization

asked Sep 12 at 19:42

4 votes

1 answer

210 views

Local solutions of renormalized stochastic PDE

asked Jun 6 at 17:20

4 votes

0 answers

76 views

Regularity structures-paracontrolled distributions: do they always work for sub-critical SPDE?

asked May 14 at 1:00

4 votes

2 answers

455 views

Converse of Itô's formula

asked Dec 5, 2022 at 3:01

3 votes

1 answer

109 views

Inequality: multivariate normal distribition

asked Jan 14, 2023 at 21:48

3 votes

0 answers

146 views

Request for article in Rev. Roumaine Math. Pures Appl. (1981)

asked Jul 7, 2023 at 5:52

3 votes

0 answers

196 views

Towards Schauder estimates: smoothing effect of the semi-group generated by $\Delta+(-\Delta)^{1/2}$

asked Jul 2 at 0:02

2 votes

0 answers

136 views

Towards the KPZ: Wiener-Ito integral, Kolmogorov type criterion

asked Jun 26 at 3:08

2 votes

1 answer

279 views

Hermite polynomial and Gaussian random variable

asked Jun 26 at 23:22

2 votes

0 answers

137 views

Holder-Besov space and time continuity

asked Jun 2 at 19:12

2 votes

1 answer

273 views

If $u$ is harmonic, $\exists \alpha,\beta \in \mathbb{R},\forall x\in \mathbb{R}^d,u(x) \leq \alpha |x|+\beta,$ then $u$ is affine

asked Aug 14, 2023 at 3:12

2 votes

0 answers

121 views

Martingale regularization

asked Jun 22, 2023 at 4:19

2 votes

1 answer

262 views

Chung's law of the iterated logarithm for Brownian motion

asked May 3, 2022 at 7:59

2 votes

1 answer

157 views

$\int_0^u\int_{[-1,1]^2}\int_{[-1,1]^2}\frac{1}{r}e^{-\alpha^2|x-y|^2/r} \, dx\,dy\,dr\leq Cu^{\epsilon}\alpha^{-2\beta}$

asked Feb 4, 2023 at 18:16

1 vote

1 answer

138 views

Characterization of Brownian motion: processes with right-continuous paths

asked Jun 21, 2022 at 2:51

1 vote

0 answers

182 views

Hardy's inequality proof using Doob's inequalities

asked Sep 28, 2022 at 22:10

1 vote

1 answer

190 views

Inequality and integral

asked Jan 31, 2023 at 19:28

1 vote

0 answers

92 views

SPDE via fixed point argument and Young's theorem

asked Sep 1, 2023 at 20:59

1 vote

0 answers

89 views

Heat kernel and estimates

asked Nov 4, 2023 at 0:13

1 vote

0 answers

39 views

White noise, stochastic convolution: $0$–$1$ law of a stopping time

asked Mar 22 at 0:38

0 votes

0 answers

81 views

White noise: a tempered distribution version of the stochastic convolution

asked Apr 8 at 22:01

0 votes

1 answer

223 views

Construction of random tempered distributions

asked Mar 5 at 6:14

0 votes

0 answers

90 views

Martingale defined by an integral

asked Mar 6 at 0:55

0 votes

1 answer

74 views

$\int_{\mathbb{R}}|p(v-r,x)-p(u-r,x)|\,dx \leq C\frac{v-u}{u-r}$

asked Feb 6, 2023 at 22:44

0 votes

0 answers

120 views

Predictability of the mild solution of a SPDE

asked Jan 22, 2023 at 3:07

0 votes

1 answer

248 views

Integral with inequality

asked Jan 26, 2023 at 18:49

0 votes

1 answer

112 views

Integral and inequality

asked Jan 27, 2023 at 3:41

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30 Questions

Global well posedness of $\phi^4_1$

Continuity dependence and convergence of the renormalized $\Phi^4_2$ model

Is it really interesting to prove well-posedness of unsolved SPDE?

SPDE Renormalization

Local solutions of renormalized stochastic PDE

Regularity structures-paracontrolled distributions: do they always work for sub-critical SPDE?

Converse of Itô's formula

Inequality: multivariate normal distribition

Request for article in Rev. Roumaine Math. Pures Appl. (1981)

Towards Schauder estimates: smoothing effect of the semi-group generated by $\Delta+(-\Delta)^{1/2}$

Towards the KPZ: Wiener-Ito integral, Kolmogorov type criterion

Hermite polynomial and Gaussian random variable

Holder-Besov space and time continuity

If $u$ is harmonic, $\exists \alpha,\beta \in \mathbb{R},\forall x\in \mathbb{R}^d,u(x) \leq \alpha |x|+\beta,$ then $u$ is affine

Martingale regularization

Chung's law of the iterated logarithm for Brownian motion

$\int_0^u\int_{[-1,1]^2}\int_{[-1,1]^2}\frac{1}{r}e^{-\alpha^2|x-y|^2/r} \, dx\,dy\,dr\leq Cu^{\epsilon}\alpha^{-2\beta}$

Characterization of Brownian motion: processes with right-continuous paths

Hardy's inequality proof using Doob's inequalities

Inequality and integral

SPDE via fixed point argument and Young's theorem

Heat kernel and estimates

White noise, stochastic convolution: $0$–$1$ law of a stopping time

White noise: a tempered distribution version of the stochastic convolution

Construction of random tempered distributions

Martingale defined by an integral

$\int_{\mathbb{R}}|p(v-r,x)-p(u-r,x)|\,dx \leq C\frac{v-u}{u-r}$

Predictability of the mild solution of a SPDE

Integral with inequality

Integral and inequality