Abstract
There are many nonstationary phenomena that are described by parabolic, rather than hyperbolic, equations. Second-order partial differential equations of parabolic type are often encountered in the study of heat conduction and diffusion processes. The simplest equation of parabolic type,
(where a 2 = const) is usually called the heat equation; here u(x,t) is the temperature in the point with abscissa x at time t.
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© 2001 Springer Basel AG
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Pikulin, V.P., Pohozaev, S.I. (2001). Parabolic problems. In: Equations in Mathematical Physics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8285-9_4
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DOI: https://doi.org/10.1007/978-3-0348-8285-9_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-6501-1
Online ISBN: 978-3-0348-8285-9
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