Abstract
Solutions of elliptic equations represent steady-state solutions; i.e., solutions which do not vary with time. They often describe the asymptotic states achieved by solutions of time-dependent problems, as t → ∞. Physically speaking, all the “rough spots” smooth out by the time this steady state is achieved.
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© 1994 Springer Science+Business Media New York
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Smoller, J. (1994). Second-Order Linear Elliptic Equations. In: Shock Waves and Reaction—Diffusion Equations. Grundlehren der mathematischen Wissenschaften, vol 258. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0873-0_8
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DOI: https://doi.org/10.1007/978-1-4612-0873-0_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6929-8
Online ISBN: 978-1-4612-0873-0
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