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Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 258))

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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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© 1983 Springer-Verlag New York Inc.

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Smoller, J. (1983). Second-Order Linear Elliptic Equations. In: Shock Waves and Reaction—Diffusion Equations. Grundlehren der mathematischen Wissenschaften, vol 258. Springer, New York, NY.

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-0154-7

  • Online ISBN: 978-1-4684-0152-3

  • eBook Packages: Springer Book Archive

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