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BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS

Publish place: Journal of Mahani Mathematical Research، Vol: 11، Issue: 3
Publish Year: 1401
Type: Journal paper
Language: English
View: 211

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Link to this Paper:
https://civilica.com/doc/1553754

Document National Code:

JR_KJMMRC-11-3_007

Index date: 16 November 2022

BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS abstract

This paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive initial energy by using a concavity-type method. This work improves and generalizes several interesting recent blow-up results on wave equations in particular on Kichhoff-type equations. We also show the global existence of solutions under appropriate conditions.

BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS Keywords:

Blow-up , Global existence , Higher-Order Kirchhoff-Type Equation , Variable exponents , Positive initial energy

BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS authors

Fortuné Dohemeto

Department of Mathematics, Institut de Mathématiques et de Sciences Physiques (IMSP), Université d&#۰۳۹;Abomey Calavi (UAC), Bénin, Dangbo

Guy Degla

Department of Mathematics, Institut de Mathématiques et de Sciences Physiques (IMSP), Université d&#۰۳۹;Abomey Calavi (UAC), Bénin, Dangbo

Cyrille Dansou

Department of Mathematics, Institut de Mathématiques et de Sciences Physiques (IMSP), Université d&#۰۳۹;Abomey Calavi (UAC), Bénin, Dangbo

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