Zobrazeno 1 - 10
of 113
pro vyhledávání: '"A Serikbol"'
In this work, we study the Sobolev inequality on noncommutative Euclidean spaces. As a simple consequence, we obtain the Gagliardo-Nirenberg type inequality and as its application we show global well-posedness of nonlinear PDEs in the noncommutative
Externí odkaz:
http://arxiv.org/abs/2408.09100
In this paper, we study H\"ormander type Fourier multiplier theorem and the Nikolskii inequality on quantum tori. On the way to obtain these results, we also prove some classical inequalities such as Paley type, Hausdorff-Young-Paley, Hardy-Littlewoo
Externí odkaz:
http://arxiv.org/abs/2402.17353
The study of the Mittag-Leffler function and its various generalizations has become a very popular topic in mathematics and its applications. In the present paper we prove the following estimate for the $q$-Mittag-Leffler function: \begin{eqnarray*}
Externí odkaz:
http://arxiv.org/abs/2302.00532
In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we consider non-homogenous heat and wave equations for Rubin's difference operator. Well-posedness results are obtained in appropriate Sobolev
Externí odkaz:
http://arxiv.org/abs/2301.07381
In this paper, we have introduced the Prabhakar fractional $q$-integral and $q$-differential operators. We first study the semi-group property of the Prabhakar fractional $q$-integral operator, which allowed us to introduce the corresponding $q$-diff
Externí odkaz:
http://arxiv.org/abs/2212.08843
In this paper we explore the weak solutions of the Cauchy problem and an inverse source problem for the heat equation in the quantum calculus, formulated in abstract Hilbert spaces. For this we use the Fourier series expansions. Moreover, we prove th
Externí odkaz:
http://arxiv.org/abs/2212.07403
To study the existence and uniqueness of solutions to Cauchy-type problems for fractional q-difference equations with the bi-ordinal Hilfer fractional q-derivative which is an extension of the Hilfer fractional q-derivative. An approach is based on t
Externí odkaz:
http://arxiv.org/abs/2212.07374
In this paper we explore the weak solution of a time-dependent inverse source problem and inverse initial problem for $q$-analogue of the heat equation. As an over-determination condition we have used integral type condition on space-variable (in the
Externí odkaz:
http://arxiv.org/abs/2212.07239
The paper is denoted to the initial-boundary value problem for the wave equation with the Sturm-Liouville operator with irregular (distributive) potentials. To obtain a solution to the equation, the separation method and asymptotics of the eigenvalue
Externí odkaz:
http://arxiv.org/abs/2209.08278
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 March 2024 531(1) Part 2
