Linear Evolution Equations

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Abstract

Here we study linear PDE for which one poses an initial-value problem, also called a “Cauchy problem,” say at time t = t0. The emphasis is on the wave and heat equations: 0.1 (formula presented) though some other sorts of PDE, such as symmetric hyperbolic systems, are also discussed.

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Taylor, M. E. (2011). Linear Evolution Equations. In Applied Mathematical Sciences (Switzerland) (Vol. 115, pp. 481–547). Springer. https://doi.org/10.1007/978-1-4419-7055-8_6

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