Title | QUENCHING FOR A PARABOLIC PROBLEM DUE TO A CONCENTRATED NONLINEAR SOURCE ON A SEMI-INFINITE INTERVAL |

Publication Type | Journal Article |

Year of Publication | 2009 |

Authors | CHAN C.Y, TREEYAPRASERT T. |

Journal | Dynamic Systems and Applications |

Volume | 18 |

Start Page | 55 |

Pagination | 8 |

Date Published | 2009 |

ISSN | 1056-2176 |

AMS Subject Classification | 35K57, 35K60 |

Abstract | Let α, b, and T be positive numbers, D = (0,∞), D¯ = [ 0, ∞ ), and Ω = D × ( 0, T ]. This article studies the first initial-boundary value problem with a concentrated nonlinear source situated at b, u u( x, 0 ) = 0 on D¯, u( 0, t ) = 0 and u( x, t ) → 0 as x → ∞ for 0 < t ≤ T, where δ (x) is the Dirac delta function and f is a given function such that lim sup { u (x, t) : 0 ≤ x < ∞ } reaches c |

https://acadsol.eu/dsa/articles/18/05-DSA-CY-5-ChanTreeyaprasert.pdf | |

Refereed Designation | Refereed |