Existence and regularity in the α-norm for some neutral partial differential equations with nonlocal conditions

Khalil Ezzinbi; Xianlong Fu; Khalid Hilal

doi:10.1016/j.na.2006.08.003

Existence and regularity in the α-norm for some neutral partial differential equations with nonlocal conditions

Khalil Ezzinbi, Xianlong Fu, Khalid Hilal

School of Mathematical Sciences

Cadi Ayyad University

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

116 Scopus citations

Abstract

In this work, we discuss the existence and regularity of solutions for some partial differential equations with nonlocal conditions in the α-norm. We assume that the linear part generates an analytic semigroup and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.

Original language	English
Pages (from-to)	1613-1622
Number of pages	10
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	67
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2006.08.003
State	Published - 1 Sep 2007

Keywords

Analytic semigroup
Fractional power
Mild solution
Neutral partial differential equation
Strict solution

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10.1016/j.na.2006.08.003

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title = "Existence and regularity in the α-norm for some neutral partial differential equations with nonlocal conditions",

abstract = "In this work, we discuss the existence and regularity of solutions for some partial differential equations with nonlocal conditions in the α-norm. We assume that the linear part generates an analytic semigroup and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.",

keywords = "Analytic semigroup, Fractional power, Mild solution, Neutral partial differential equation, Strict solution",

author = "Khalil Ezzinbi and Xianlong Fu and Khalid Hilal",

year = "2007",

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doi = "10.1016/j.na.2006.08.003",

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T1 - Existence and regularity in the α-norm for some neutral partial differential equations with nonlocal conditions

AU - Ezzinbi, Khalil

AU - Fu, Xianlong

AU - Hilal, Khalid

PY - 2007/9/1

Y1 - 2007/9/1

N2 - In this work, we discuss the existence and regularity of solutions for some partial differential equations with nonlocal conditions in the α-norm. We assume that the linear part generates an analytic semigroup and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.

AB - In this work, we discuss the existence and regularity of solutions for some partial differential equations with nonlocal conditions in the α-norm. We assume that the linear part generates an analytic semigroup and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.

KW - Analytic semigroup

KW - Fractional power

KW - Mild solution

KW - Neutral partial differential equation

KW - Strict solution

UR - https://www.scopus.com/pages/publications/34247396632

U2 - 10.1016/j.na.2006.08.003

DO - 10.1016/j.na.2006.08.003

M3 - 文章

AN - SCOPUS:34247396632

SN - 0362-546X

VL - 67

SP - 1613

EP - 1622

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

Existence and regularity in the α-norm for some neutral partial differential equations with nonlocal conditions

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Keywords

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