A note on nonexistence of global solutions to a nonlinear integral equation

M. Guedda; M. Kirane

doi:10.36045/bbms/1103055577

A note on nonexistence of global solutions to a nonlinear integral equation

M. Guedda, M. Kirane

Mathematics

LAMFA Université Picardie Jules Verne

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

46 Scopus citations

Abstract

In this paper we study the Cauchy problem for the integral equation u_t = -(-Δ)β/2 u + h(t)u^1+α in ℝ^N × (0, T), where 0 < β ≤ 2. We obtain some extension of results of Fujita who considered the case β = 2 and h ≡ 1.

Original language	British English
Pages (from-to)	491-497
Number of pages	7
Journal	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume	6
Issue number	4
DOIs	https://doi.org/10.36045/bbms/1103055577
State	Published - 1999

Access to Document

10.36045/bbms/1103055577

Cite this

@article{968170a5bf964833b340a9051a719555,

title = "A note on nonexistence of global solutions to a nonlinear integral equation",

abstract = "In this paper we study the Cauchy problem for the integral equation ut = -(-Δ)β/2 u + h(t)u1+α in ℝN × (0, T), where 0 < β ≤ 2. We obtain some extension of results of Fujita who considered the case β = 2 and h ≡ 1.",

author = "M. Guedda and M. Kirane",

year = "1999",

doi = "10.36045/bbms/1103055577",

language = "British English",

volume = "6",

pages = "491--497",

journal = "Bulletin of the Belgian Mathematical Society - Simon Stevin",

issn = "1370-1444",

publisher = "Belgian Mathematical Society",

number = "4",

}

TY - JOUR

T1 - A note on nonexistence of global solutions to a nonlinear integral equation

AU - Guedda, M.

AU - Kirane, M.

PY - 1999

Y1 - 1999

N2 - In this paper we study the Cauchy problem for the integral equation ut = -(-Δ)β/2 u + h(t)u1+α in ℝN × (0, T), where 0 < β ≤ 2. We obtain some extension of results of Fujita who considered the case β = 2 and h ≡ 1.

AB - In this paper we study the Cauchy problem for the integral equation ut = -(-Δ)β/2 u + h(t)u1+α in ℝN × (0, T), where 0 < β ≤ 2. We obtain some extension of results of Fujita who considered the case β = 2 and h ≡ 1.

UR - http://www.scopus.com/inward/record.url?scp=0001443542&partnerID=8YFLogxK

U2 - 10.36045/bbms/1103055577

DO - 10.36045/bbms/1103055577

M3 - Article

AN - SCOPUS:0001443542

SN - 1370-1444

VL - 6

SP - 491

EP - 497

JO - Bulletin of the Belgian Mathematical Society - Simon Stevin

JF - Bulletin of the Belgian Mathematical Society - Simon Stevin

IS - 4

ER -

A note on nonexistence of global solutions to a nonlinear integral equation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this