Zobrazeno 1 - 10
of 4 767
pro vyhledávání: '"$L^P$ estimates"'
Autor:
Wang, Guangqing, He, Suixin
Let $T_{a,\varphi}$ be a Fourier integral operator defined with $a\in S^{m}_{0,\delta}$ with $0\leq\delta<1$ and $\varphi\in \Phi^{2}$ satisfying the strong non-degenerate condition. It is showed that $T_{a,\varphi}$ is a bounded operator from $L^{\i
Externí odkaz:
http://arxiv.org/abs/2412.00409
Autor:
McDonald, Edward
We prove that order zero operators in the pseudodifferential calculus associated to a filtration defined by Androulidakis, Mohsen and Yuncken are bounded on $L_p$ spaces for $1
Externí odkaz:
http://arxiv.org/abs/2410.13701
Autor:
Qiao, Yuxiang
We study the sharp $\mathrm{L}^\infty$ estimates for fully non-linear elliptic equations on compact complex manifolds. For the case of K\"ahler manifolds, we prove that the oscillation of any admissible solution to a degenerate fully non-linear ellip
Externí odkaz:
http://arxiv.org/abs/2409.05157
Autor:
Shuin, Kalachand
In this article we have investigated $L^{p}$ boundedness of the multilinear maximal Bochner--Riesz means and the corresponding square function. We have exploited the ideas given in the paper "Maximal estimates for bilinear Bochner--Riesz means" (Adv.
Externí odkaz:
http://arxiv.org/abs/2408.17069
Autor:
Mohamad, Haidar
The purpose of this paper is to obtain a fundamental $L^p-L^{p'}$ estimate for a class of a strongly damped wave equations where the damping operator is given by $-\delta \Delta$ with $\delta \geq 0$ and the constant in the estimate is independent of
Externí odkaz:
http://arxiv.org/abs/2407.17179
Autor:
Jung, Pilgyu, Kim, Doyoon
We establish the unique solvability of solutions in Sobolev spaces to linear parabolic equations in a more general form than those in the literature. A distinguishing feature of our equations is the inclusion of a half-order time derivative term on t
Externí odkaz:
http://arxiv.org/abs/2407.11305
In this note we provide a new proof of the $W^{2,p}$ \textit{Calder\'on-Zygmund} regularity estimates for the Laplacian, i.e., $\Delta u=f$ and its parabolic counterpart $\partial_t u-\Delta u=f$. Our proof is an adaptation of a contradiction and com
Externí odkaz:
http://arxiv.org/abs/2407.05882
In this paper, we study linear backward parabolic SPDEs and present new a priori estimates for their weak solutions. Inspired by the seminal work of Y. Hu, J. Ma and J. Yong from 2002 on strong solutions, we establish $L^p$-estimates requiring minima
Externí odkaz:
http://arxiv.org/abs/2406.18500
Autor:
Du, Xiumin, Li, Jianhui
We obtain $L^p$ estimates of the maximal Schr\"odinger operator in $\mathbb R^n$ using polynomial partitioning, bilinear refined Strichartz estimates, and weighted restriction estimates.
Comment: Accepted by Journal of Functional Analysis in Nov
Comment: Accepted by Journal of Functional Analysis in Nov
Externí odkaz:
http://arxiv.org/abs/2404.10958