The one-dimensional heat equation with a nonlocal initial condition

Applied Mathematics Letters

Volumn 10, Issue 3, 1997, Pages 89-94

  Olmstead, W E ^a   Roberts, C A ^b  

^a Northwestern University   (United States)

^b NORTHERN ARIZONA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040360735     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00041-4     Document Type: Article

References (5)

1. K. Deng, Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions, J. Math. Analysis and Appl. 179, 630-637, (1993).
2. J. Chabrowski, On nonlocal problems for parabolic equations, Nagoya Math, J. 93, 109-131, (1984).
3. Y. Lin, Analytical and numerical solutions for a class of nonlocal nonlinear parabolic differential equations, SIAM J. Math. Analysis 25, 1577-1594, (1994).
4. D. Porter and D.G.S. Stirling, Integral Equations, Cambridge University Press, Cambridge, (1990).
5. I. Stakgold, Boundary Value Problems of Mathematical Physics, Volume I, Macmillan, New York, (1967).