Remarks on Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions

Park, Sang Ro

doi:10.1002/mana.19991980109

Mathematische Nachrichten

1999

DOI: 10.1002/mana.19991980109

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Remarks on Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions

Sang Ro Park

Abstract: In this paper the non -existence of global solutions of two fourth-order hyperbolic iquations with dynamic boundary conditions is considered. Here we prove stronger results than that ol M. KIRANE, S . KOUACHI and N. TATAR by a different method.1.

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Blow-Up Time of Some Nonlinear Wave Equations

Boni¹,

Nabongo²,

Sery³

2008

J. Nonlinear Sci. Appl.

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Abstract. In this paper, we consider the following initial-boundary value problem is a positive, increasing and convex function for nonnegative values of s. Under some assumptions, we show that, if ε is small enough, then the solution u of the above problem blows up in a finite time, and its blow-up time tends to that of the solution of the following differential equationFinally, we give some numerical results to illustrate our analysis.

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Blow-Up Time of Some Nonlinear Wave Equations

Boni¹,

Nabongo²,

Sery³

2008

J. Nonlinear Sci. Appl.

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show abstract

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Remarks on Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions

Abstract: In this paper the non -existence of global solutions of two fourth-order hyperbolic iquations with dynamic boundary conditions is considered. Here we prove stronger results than that ol M. KIRANE, S . KOUACHI and N. TATAR by a different method.1.

Cited by 1 publication

References 7 publications

Blow-Up Time of Some Nonlinear Wave Equations

Blow-Up Time of Some Nonlinear Wave Equations

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