Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance

Yoshiyuki Kagei; Yasunori Maekawa

doi:10.1016/j.jfa.2011.02.004

Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance

Yoshiyuki Kagei, Yasunori Maekawa

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

There are wide classes of nonlinear evolution equations which possess invariant properties with respect to a scaling and translations. If a solution is invariant under the scaling then it is called a self-similar solution, which is a candidate for the asymptotic profile of general solutions at large time. In this paper we establish an abstract framework to find more precise asymptotic profiles by shifting self-similar solutions suitably.

Original language	English
Pages (from-to)	3036-3096
Number of pages	61
Journal	Journal of Functional Analysis
Volume	260
Issue number	10
DOIs	https://doi.org/10.1016/j.jfa.2011.02.004
Publication status	Published - May 15 2011

All Science Journal Classification (ASJC) codes

Analysis

Access to Document

10.1016/j.jfa.2011.02.004

Cite this

@article{5f4d704631ed411888f22870fa591f27,

title = "Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance",

abstract = "There are wide classes of nonlinear evolution equations which possess invariant properties with respect to a scaling and translations. If a solution is invariant under the scaling then it is called a self-similar solution, which is a candidate for the asymptotic profile of general solutions at large time. In this paper we establish an abstract framework to find more precise asymptotic profiles by shifting self-similar solutions suitably.",

author = "Yoshiyuki Kagei and Yasunori Maekawa",

year = "2011",

month = may,

day = "15",

doi = "10.1016/j.jfa.2011.02.004",

language = "English",

volume = "260",

pages = "3036--3096",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "10",

}

TY - JOUR

T1 - Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance

AU - Kagei, Yoshiyuki

AU - Maekawa, Yasunori

PY - 2011/5/15

Y1 - 2011/5/15

N2 - There are wide classes of nonlinear evolution equations which possess invariant properties with respect to a scaling and translations. If a solution is invariant under the scaling then it is called a self-similar solution, which is a candidate for the asymptotic profile of general solutions at large time. In this paper we establish an abstract framework to find more precise asymptotic profiles by shifting self-similar solutions suitably.

AB - There are wide classes of nonlinear evolution equations which possess invariant properties with respect to a scaling and translations. If a solution is invariant under the scaling then it is called a self-similar solution, which is a candidate for the asymptotic profile of general solutions at large time. In this paper we establish an abstract framework to find more precise asymptotic profiles by shifting self-similar solutions suitably.

UR - http://www.scopus.com/inward/record.url?scp=79952102369&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952102369&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2011.02.004

DO - 10.1016/j.jfa.2011.02.004

M3 - Article

AN - SCOPUS:79952102369

SN - 0022-1236

VL - 260

SP - 3036

EP - 3096

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 10

ER -

Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this