The Stabilization Rate of a Solution to the Cauchy Problem for a Parabolic Equation with Lower Order Coefficient

被引：0

作者：

Denisov V.N. ^{[1
]}

机构：

[1] Lomonosov Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2015年 / 208卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

Cauchy Problem; Bessel Function; Parabolic Equation; Initial Function; Stabilization Rate;

D O I：

10.1007/s10958-015-2426-1

中图分类号：

学科分类号：

摘要：

We obtain exact sufficient conditions on the lower order coefficient of a parabolic equation guaranteeing the power rate of the uniform stabilization of the solution to the Cauchy problem on every compact set K in RN and for any bounded initial function. Bibliography: 9 titles. © 2015, Springer Science+Business Media New York.

引用

页码：91 / 99

页数：8

共 50 条

[1] The stabilization rate of a solution to the Cauchy problem for parabolic equation with lower order coefficients
Denisov, Vasilii
[J]. INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
[2] On Stabilization of the Solution of the Cauchy Problem for a Parabolic Equation with a Lower Order Coefficient and a Growing Initial Function
V. N. Denisov
[J]. Journal of Mathematical Sciences, 2004, 120 (3) : 1313 - 1327
[3] Stabilization of the solution of the Cauchy problem for a parabolic equation with a lower-order term
Denisov, VN
[J]. DIFFERENTIAL EQUATIONS, 2003, 39 (04) : 543 - 552
[4] Stabilization of the Solution of the Cauchy Problem for a Parabolic Equation with a Lower-Order Term
V. N. Denisov
[J]. Differential Equations, 2003, 39 : 543 - 552
[5] Stabilization Conditions for the Solution of the Cauchy Problem for a Parabolic Equation with Growing Lower Order Coefficients
Denisov, V. N.
[J]. DOKLADY MATHEMATICS, 2013, 87 (03) : 348 - 350
[6] Stabilization of a solution to the Cauchy problem for a nondivergence parabolic equation with growing lower order coefficients
Denisov, V. N.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2010, 270 (01) : 91 - 103
[7] Stabilization of a solution to the Cauchy problem for a nondivergence parabolic equation with growing lower order coefficients
V. N. Denisov
[J]. Proceedings of the Steklov Institute of Mathematics, 2010, 270 : 91 - 103
[8] Stabilization conditions for the solution of the Cauchy problem for a parabolic equation with growing lower order coefficients
V. N. Denisov
[J]. Doklady Mathematics, 2013, 87 : 348 - 350
[9] On the Stabilization Rate of Solutions of the Cauchy Problem for a Parabolic Equation with Lower-Order Terms
Denisov V.N.
[J]. Journal of Mathematical Sciences, 2018, 233 (6) : 807 - 827
[10] STABILIZATION OF SOLUTION TO CAUCHY PROBLEM FOR PARABOLIC EQUATION
DROZHINO.IN
[J]. DOKLADY AKADEMII NAUK SSSR, 1962, 142 (01): : 17 - &

← 1 2 3 4 5 →