𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Blow up, decay bounds and continuous dependence inequalities for a class of quasilinear parabolic problems

✍ Scribed by L. E. Payne; G. A. Philippin; S. Vernier-Piro

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
130 KB
Volume
29
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper deals with a class of semilinear parabolic problems. In particular, we establish conditions on the data sufficient to guarantee blow up of solution at some finite time, as well as conditions which will insure that the solution exists for all time with exponential decay of the solution and its spatial derivatives. In the case of global existence, we also investigate the continuous dependence of the solution with respect to some data of the problem. Copyright © 2005 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Continuous dependence on the geometry an
Continuous dependence on the geometry and on the initial time for a class of parabolic problems II
✍ G. A. Philippin; V. Proytcheva 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 139 KB 👁 1 views

## Abstract Extending the investigations initiated in an earlier paper, the authors deal in this paper with the solutions of another class of initial‐boundary value problems for which continuous dependence inequalities on the geometry and the initial time are established. Copyright © 2007 John Wile

Continuous dependence on the geometry an
Continuous dependence on the geometry and on the initial time for a class of parabolic problems I
✍ L. E. Payne; G. A. Philippin; V. Proytcheva 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 140 KB 👁 1 views

## Abstract In this paper, we investigate the continuous dependence on the geometry and the initial time for solutions __u__(**x**, __t__) of a class of nonlinear parabolic initial‐boundary value problems. Copyright © 2007 John Wiley & Sons, Ltd.