Cauchy Problem for Evolution Equations with Pseudo-Bessel Operators: I

被引：0

作者：

Gorodetskii, V. V. ^{[1
]}

Spizhavka, D. I. ^{[1
]}

机构：

[1] Chernovtsy Natl Univ, Chernovtsy, Ukraine

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 09期

关键词：

Cauchy Problem; Evolution Equation; Normed Space; Fundamental Solution; Generalize Shift;

D O I：

10.1134/S001226611009003X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze the structure and properties of the fundamental solution of the Cauchy problem for the evolution equation with a pseudo-Bessel operator constructed on the basis of the symbol a(t, x; sigma) fixed at the point t = tau, x = xi.

引用

页码：1253 / 1266

页数：14

共 50 条

[41] Formulas for the solution of the Cauchy problem for a singular wave equation with Bessel time operator [J].

L. N. Lyakhov ;

I. P. Polovinkin ;

E. L. Shishkina .

Doklady Mathematics, 2014, 90 :737-742

[42] Formulas for the solution of the Cauchy problem for a singular wave equation with Bessel time operator [J].

Lyakhov, L. N. ;

Polovinkin, I. P. ;

Shishkina, E. L. .

DOKLADY MATHEMATICS, 2014, 90 (03) :737-742

[43] Analyticity of the Cauchy problem for an integrable evolution equation [J].

Himonas, AA ;

Misiolek, G .

MATHEMATISCHE ANNALEN, 2003, 327 (03) :575-584

[44] Analyticity of the Cauchy problem for an integrable evolution equation [J].

A. Alexandrou Himonas ;

Gerard Misiołek .

Mathematische Annalen, 2003, 327 :575-584

[45] CAUCHY PROBLEM FOR STOCHASTIC NON-AUTONOMOUS EVOLUTION EQUATIONS GOVERNED BY NONCOMPACT EVOLUTION FAMILIES [J].

Chen, Pengyu ;

Li, Yongxiang ;

Zhang, Xuping .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (03) :1531-1547

[46] ON SOME PERTURBATIONS OF A STABLE PROCESS AND SOLUTIONS OF THE CAUCHY PROBLEM FOR A CLASS OF PSEUDO-DIFFERENTIAL EQUATIONS [J].

Osypchuk, M. M. .

CARPATHIAN MATHEMATICAL PUBLICATIONS, 2015, 7 (01) :101-107

[47] On the Cauchy problem for the evolution p-Laplacian equations with gradient term and source [J].

Lian, Songzhe ;

Yuan, Hongjun ;

Cao, Chunling ;

Gao, Wenjie ;

Xu, Xiaojing .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 235 (02) :544-585

[48] The Cauchy Problem for the Iterated Klein–Gordon Equation with the Bessel Operator [J].

Sh. T. Karimov .

Lobachevskii Journal of Mathematics, 2020, 41 :772-784

[49] A Cauchy Problem for the Boussinesq-Love Equation with the Bessel Operator [J].

Karimov, Sh. ;

Oripov, Sh. .

LOBACHEVSKII JOURNAL OF MATHEMATICS, 2024, 45 (09) :4520-4533

[50] Evolution equations with Gel'fond-Leont'ev generalized differentiation operators: I [J].

Gorodetskii, V. V. ;

Shevchuk, N. M. .

DIFFERENTIAL EQUATIONS, 2008, 44 (04) :499-509

← 1 2 3 4 5 →