Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation

M. Kirane; A. Nabti

doi:10.1007/s00033-014-0473-y

Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation

M. Kirane, A. Nabti

Mathematics

Université de La Rochelle

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

14 Scopus citations

Abstract

In this paper, we study the initial value problem for the nonlocal in time nonlinear Schrödinger equation (Formula Presented.).Using the test function method, we derive a blow-up exponent. Then based on integral inequalities, we estimate the life span of blowing-up solutions.

Original language	British English
Pages (from-to)	1473-1482
Number of pages	10
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	66
Issue number	4
DOIs	https://doi.org/10.1007/s00033-014-0473-y
State	Published - 10 Aug 2015

Keywords

Blow up
Life span
Riemann–Liouville fractional integrals and derivatives

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10.1007/s00033-014-0473-y

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title = "Life span of solutions to a nonlocal in time nonlinear fractional Schr{\"o}dinger equation",

abstract = "In this paper, we study the initial value problem for the nonlocal in time nonlinear Schr{\"o}dinger equation (Formula Presented.).Using the test function method, we derive a blow-up exponent. Then based on integral inequalities, we estimate the life span of blowing-up solutions.",

keywords = "Blow up, Life span, Riemann–Liouville fractional integrals and derivatives",

author = "M. Kirane and A. Nabti",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Basel.",

year = "2015",

month = aug,

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doi = "10.1007/s00033-014-0473-y",

language = "British English",

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T1 - Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation

AU - Kirane, M.

AU - Nabti, A.

PY - 2015/8/10

Y1 - 2015/8/10

N2 - In this paper, we study the initial value problem for the nonlocal in time nonlinear Schrödinger equation (Formula Presented.).Using the test function method, we derive a blow-up exponent. Then based on integral inequalities, we estimate the life span of blowing-up solutions.

AB - In this paper, we study the initial value problem for the nonlocal in time nonlinear Schrödinger equation (Formula Presented.).Using the test function method, we derive a blow-up exponent. Then based on integral inequalities, we estimate the life span of blowing-up solutions.

KW - Blow up

KW - Life span

KW - Riemann–Liouville fractional integrals and derivatives

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U2 - 10.1007/s00033-014-0473-y

DO - 10.1007/s00033-014-0473-y

M3 - Article

AN - SCOPUS:84938986745

SN - 0044-2275

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JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 4

ER -

Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation

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Keywords

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