Energy and pointwise bounds in some non-standard parabolic problems

Royal Society of Edinburgh - Proceedings A

Volumn 134, Issue 1, 2004, Pages 1-9

  Ames, K A ^a   Payne, L E ^b   Schaefer, P W ^c  

^a University of Alabama ^*  (United States)

^b Department of Obstetrics Gynecology   (United States)

^c UNIVERSITY OF TENNESSEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1942540064     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500003036     Document Type: Conference Paper

References (7)

1. K. A. Ames and L. E. Payne. Asymptotic behavior for two regularizations of the Cauchy problem for the backward heat equation. Math. Models Meth. Appl. Sci. 8 (1998), 187-202.
2. K. A. Ames and L. E. Payne. Continuous dependence on modeling for some well-posed perturbations of the backward heat equation. J. Inequal. Appl. 3 (1999), 51-64.
3. G. Clark and C. Oppenheimer. Quasireversibility methods for non-well-posed problems. Electron. J. Diff. Eqns 1994(8) (1994), 1-9.
4. J. Hersch. Sur la fréquence fondamentale d'une membrane vibrante; évaluations par défaut et principe du maximum. Z. Angew. Math. Phys. 11 (1960), 387-413.
5. L. E. Payne and G. A. Philippin. Decay bounds for solutions of second order parabolic problems and their derivatives. Math. Models Meth. Appl. Sci. 5 (1995), 95-110.
6. L. E. Payne and P. W. Schaefer. Energy bounds for some nonstandard problems in partial differential equations. J. Math. Analysis Applic. 273 (2002), 75-92.
7. R. E. Showalter. Cauchy problem for hyper-parabolic partial differential equations. In Trends in the theory and practice of non-linear analysis (Elsevier, 1983).