Zobrazeno 1 - 10
of 319 301
pro vyhledávání: '"A. Kuznetsov, A."'
Autor:
Jibladze, Mamuka, Kuznetsov, Evgeny
An embedding of arbitrary Heyting algebra H into a reduct from the variety of Kuznetsov-Muravitsky algebras is constructed. An algebraic proof is given that this reduct belongs to the variety of Heyting algebras generated by H.
Externí odkaz:
http://arxiv.org/abs/2405.13802
Autor:
Shan, Minjie
In this paper, we discuss pointwise decay estimate for the solution to the mass-critical generalized Korteweg-de Vries (gKdV) equation with initial data $u_0\in H^{1/2}(\mathbb{R})$. It is showed that nonlinear solution enjoys the same decay rate as
Externí odkaz:
http://arxiv.org/abs/2409.05550
Autor:
Li, Zhaolin
In this paper, we will prove a Poisson summation formula on the Kuznetsov quotient that will be responsible for the functional equation of the standard $L$-functions of $\GL_2$.
Externí odkaz:
http://arxiv.org/abs/2410.15627
The influence of fractional order parameter $(\alpha)$ in nonlinear waves is examined in the fractional Zakharov-Kuznetsov (FZK) equation with the Hirota bilinear approach. Symbolic computation is used for all mathematical calculations. A significant
Externí odkaz:
http://arxiv.org/abs/2409.18993
Autor:
Baldasso, Mikaela, Panthee, Mahendra
We consider the initial value problem (IVP) for the 2D generalized Zakharov-Kuznetsov (ZK) equation \begin{equation} \begin{cases} \partial_{t}u+\partial_{x}\Delta u+\mu \partial_{x}u^{k+1}=0, \,\;\; (x, y) \in \mathbb{R}^2, \, t \in \mathbb{R},\\ u(
Externí odkaz:
http://arxiv.org/abs/2407.13074
We study the categorical Torelli theorem for smooth (weighted) hypersurfaces in (weighted) projective spaces via the Hochschild--Serre algebra of its Kuznetsov component. In the first part of the paper, we show that a natural graded subalgebra of the
Externí odkaz:
http://arxiv.org/abs/2408.08266
We study moduli spaces of stable objects in the Kuznetsov components of Fano threefolds. We prove a general non-emptiness criterion for moduli spaces, which applies to the cases of prime Fano threefolds of index $1$, degree $10 \leq d \leq 18$, and i
Externí odkaz:
http://arxiv.org/abs/2406.09124
Autor:
Ban, Yingzhe, Shan, Minjie
We illustrate the dispersive blow up phenomena of the solutions of three dimensional generalized Zakharov-Kuznetsov equations. In particular, we construct smooth initial data such that, the associated global solutions fail to be $C^{1}$ at time $t$ i
Externí odkaz:
http://arxiv.org/abs/2408.14737
Autor:
Mezher, Ali
This paper is focused on the modified Zakharov-Kusnetsov equation. We prove the associated Cauchy problem is locally (in time) well-posed in $H^s(\R \times \T)$ for $s >1$. The new ingredient in this work is a trilinear estimate in the context of Bou
Externí odkaz:
http://arxiv.org/abs/2407.04850
In this article, we consider the Cauchy problem for the cubic (mass-critical) Zakharov-Kuznetsov equations in dimension two: $$\partial_t u+\partial_{x_1}(\Delta u+u^3)=0,\quad (t,x)\in [0,\infty)\times \mathbb{R}^{2}.$$ For initial data in $H^1$ clo
Externí odkaz:
http://arxiv.org/abs/2407.00300