The Dirichlet-to-Neumann map for the heat equation on a moving boundary

Inverse Problems

Volumn 23, Issue 4, 2007, Pages 1699-1710

  De Lillo, S ^a,b   Fokas, A S ^c  

^a UNIVERSITY OF PERUGIA   (Italy)

^b INFN SEZIONE DI PERUGIA   (Italy)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY INTEGRAL EQUATIONS; MATHEMATICAL MODELS;

INITIAL CONDITION; LINEAR HEAT EQUATION; NEUMANN BOUNDARY VALUE;

BOUNDARY VALUE PROBLEMS;

EID: 34548690325     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/4/020     Document Type: Article

References (8)

1. Fokas A S and Pelloni B 2007 Generalised Dirichlet to Neumann map for moving initial-boundary value problems J. Math Phys. 48 13502-16
2. Ablowitz M J and De Lillo S 2003 On a two-phase free boundary problem J. Phys. A: Math. Gen. 36 4307-19
3. De Lillo S, Salvatori M C and Sanchini G 2003 On a free boundary problem in a nonlinear diffusive-convective system Phy. Lett. A 310 25-9
4. Ablowitz M J and Fokas A S 2004 Introduction and Application of Complex Variables (Cambridge: Cambridge University Press)
5. Baratella P and Orsi A P 2004 A new approach to the numerical solution of weakly singular Volterra integral equations J. Comput. Appl. Anal. 163 401-18
6. Cameron R F and Mc Kee S 1984 Product integration methods for second kind Abel integral equations J. Comput. Appl. Math. 11 1-10
7. Fokas A S and Pelloni B 2000 A method of solving moving boundary value problems for linear evolution equations Phys. Rev. Lett. 84 4785-89
8. Fokas A S and Pelloni B 2001 Integrable evolution equations in time dependent domains Inverse Problems 17 919-35