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Phragmén-Lindelöf and continuous dependence type results in generalized heat conduction (1996)

Payne, L. E. ; Song, J. C.

Springer

Zeitschrift für angewandte Mathematik und Physik 47 (1996), S. 527-538

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ISSN: 1420-9039

Keywords: 35K50 ; 35B20 ; 35B30 ; 35B40 ; Heat conduction ; continuous dependence ; decay estimate

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract Using an energy method we investigate the decay of end effects for a generalized heat conduction problem defined on a semi-infinite cylindrical region. With homogeneous Dirichlet conditions on the lateral surface of the cylinder it is shown that solutions either grow exponentially or decay exponentially in the distance from the finite end of the cylinder. The effect of perturbing the equation parameters is also investigated.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00914869

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