Elliptic regularizations for the nonlinear heat equation

Journal of Mathematical Analysis and Applications

Volumn 351, Issue 1, 2009, Pages 392-399

  Barbu, Luminiţa ^a   Cosma, Emil ^a  

^a OVIDIUS UNIVERSITY   (Romania)

Author keywords

Asymptotic expansions; Cauchy problems; Elliptic regularizations; Singular and regular perturbations

Indexed keywords

EID: 56549091899     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2008.10.033     Document Type: Article

References (9)

1. Aftabizadeh A.R., and Pavel N.H. Boundary value problems for second order differential equations and a convex problem of Bolza. Differential Integral Equations 2 (1989) 495-509
2. Apreutesei-Dumitriu N., and Volpert V.A. Elliptic regularization for the heat equation with nonlinear boundary conditions. Asymptot. Anal. 35 (2003) 151-164
3. Barbu L., and Moroşanu Gh. Singularly Perturbed Boundary Value Problems (2007), Birkhäuser
4. Barbu V. Analysis and Control of Nonlinear Infinite Dimensional Systems (1993), Academic Press
5. Brezis H. Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. Math. Stud. vol. 5 (1973), North-Holland, Amsterdam
6. Lions J.L. Perturbations singulières dans les problèmes aux limites et en contrôl optimal. Lecture Notes in Math. vol. 323 (1973), Springer, Berlin
7. Hokkanen V.-M., and Moroşanu Gh. Functional Methods in Differential Equations (2002), Chapman & Hall/CRC
8. Showalter R.E. Monotone Operators in Banach Spaces and Nonlinear PDE (1997), Amer. Math. Soc.
9. Vasilieva A.B., Butuzov V.F., and Kalashev I.V. The Boundary Function Method for Singular Perturbation Problems (1995), SIAM, Philadelphia