Asymptotic Behavior at Infinity of Solutions to the Nonhomogeneous Sobolev Equation

Bondar L. N.; Demidenko G. V.

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Asymptotic Behavior at Infinity of Solutions to the Nonhomogeneous Sobolev Equation

机译：非均匀SoboLev方程无限远处的渐近行为

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摘要

Under study is the asymptotic behavior at infinity of solutions to the Cauchy problem to the nonhomogeneous Sobolev equation. We obtain the form of the limit function and the convergence rate.

机译：在研究下是对非均匀SoboLev方程的Cauchy问题的无限的渐近行为。我们获得了极限功能的形式和收敛速度。

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来源
《Siberian Mathematical Journal》 |2018年第5期|共13页
作者
Bondar L. N.; Demidenko G. V.;
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作者单位

Novosibirsk State Univ Sobolev Inst Math Novosibirsk Russia;

Novosibirsk State Univ Sobolev Inst Math Novosibirsk Russia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Sobolev equation; Cauchy problem; asymptotic behavior at infinity;

机译：Sobolev方程;Cauchy问题;无限的渐近行为;

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专利

1. Asymptotic Behavior at Infinity of Solutions to the Nonhomogeneous Sobolev Equation [J] . Bondar L. N., Demidenko G. V. Siberian Mathematical Journal . 2018,第5期

机译：非均匀SoboLev方程无限远处的渐近行为
2. Asymptotic expansion at infinity of the solution to the Cauchy problem for the Sobolev equation [J] . Iskenderov B.A., Mamedov D.Y. Siberian Mathematical Journal . 2012,第3期

机译：Sobolev方程Cauchy问题解的无穷大处的渐近展开
3. Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential [J] . Xiang Chang-Lin Journal of Differential Equations . 2015,第8期

机译：具有临界Sobolev增长和Hardy势的拟线性椭圆型方程解的渐近性质
4. Approximate Solution of Some Linear Nonhomogeneous Operator Equations by Approach Alternative to Asymptotic Method [C] . ARCHIL PAPUKASHVILI, GELA MANELIDZE WSEAS International Conferences . 2009

机译：渐近法替代方法替代方向一些线性非均匀操作员方程的近似解
5. Long-Time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L2 Sobolev Spaces [D] . Wang, Fudong. 2021

机译：MKDV型的长时间渐近型在加权L2 Sobolev空间中的AKNS层次结构的减少方程
6. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
7. THE GENERIC BEHAVIOR OF SOLUTIONS TO SOME EVOLUTION EQUATIONS: ASYMPTOTICS AND SOBOLEV NORMS [O] . Sergey A. Denisov 2011

机译：某些演化方程解的一般行为：渐近性和索伯勒范式
8. Asymptotics and Continuity Properties Near Infinity of Solutions of Schroedinger Equation in Exterior Domains [R] . Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T., Swetina, J. 1986

机译：外域schroedinger方程解的无穷近似与连续性

Asymptotic Behavior at Infinity of Solutions to the Nonhomogeneous Sobolev Equation

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