Nonexistence for the Kassoy Problem

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1987 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 18, pages 1,157-1,162 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Bebernes, J.; Troy, W.;

doi: 10.1137/0518084

Nonexistence for the Kassoy Problem

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Abstract

The authors prove that the Kassoy problem \[ y''-\frac{x}{2}y'+e^ y- 1=0,\quad y(0)=\alpha,\quad y'(0)=0,\quad \alpha \in R, \] has no solution which has the asymptotic property \(y(x)\sim -2\ell nx+k\) as \(x\to \infty\).

Related Organizations

University of Pittsburgh
United States
University of Colorado Boulder
United States

Keywords

final time asymptotic analysis, supercritical, Kassoy problem, Nonlinear ordinary differential equations and systems, combustion

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