✦ LIBER ✦

Continuous dependence on the geometry and on the initial time for a class of parabolic problems II

✍ Scribed by G. A. Philippin; V. Proytcheva

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 139 KB
Volume: 30
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.876

No coin nor oath required. For personal study only.

✦ Synopsis

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 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 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.

Continuous dependence on the time and sp

Continuous dependence on the time and spatial geometry for the equations of thermoelasticity

✍ J. C. Song; L. E. Payne 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 426 KB 👁 1 views

In this paper we establish the stability of the solution of the standard initial-boundary value problem of linear anisotropic thermoelasticity under perturbations of the initial time geometry and of the spatial geometry. This is done by deriving appropriate explicit a priori inequalities which permi

A note on the efficiency of the conjugat

A note on the efficiency of the conjugate gradient method for a class of time-dependent problems

✍ Xing Cai; Bjørn Fredrik Nielsen; Aslak Tveito 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 107 KB 👁 1 views

## Abstract We discuss the efficiency of the conjugate gradient (CG) method for solving a sequence of linear systems; __Au__^__n__+1^ = __u__^__n__^, where __A__ is assumed to be sparse, symmetric, and positive definite. We show that under certain conditions the Krylov subspace, which is generated

Some remarks on the asymptotic behaviour

Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems

✍ G. A. Philippin; V. Proytcheva 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 103 KB 👁 1 views

## Abstract This paper deals with a class of semilinear parabolic problems. We establish sufficient conditions on the data forcing the solution to blow up at finite time τ and derive an upper bound for τ. Moreover, we show that if the problem is modified in some way, the solution decays exponential

On a contact problem for a system of par

On a contact problem for a system of parabolic equations in the thermal conductivity of electric machines: II

✍ Romuald Małecki; Paweł Olszewski; Jacek Urbanowicz; Wojciech Urbański 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 489 KB

## Abstract The non‐linear contact problem for the parabolic system of second order in the sense of Pietrovski, which is the generalization of the problem considered in Part I (preceding paper), is formulated. The matrix of fundamental solutions for parabolic systems of second order with coefficien

On the design of a continuous-time model

On the design of a continuous-time model estimator for bias distribution

✍ V. N. Bapat; A. V. B. Subrahmanyam; S. Mukhopadhyay; D. C. Saha 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 476 KB 👁 2 views

Modelling of physical processes always involves approximations. This undermodelling, coupled with noisy process data, results in biased frequency response estimates of models. The bias error cannot be eliminated, but can be distributed over frequencies by careful design of the estimator. This paper