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Remember me. Examines the crash-and-burn fate that eventually overtakes almost all solutions to partial differential equations or Examines the crash-and-burn fate that eventually overtakes almost all solutions to partial differential equations or systems. Deals with the classical solutions of global Cauchy problems for hyperbolic equations or systems.

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Key ideas Key ideas are developed in a step-by-step approach, beginning with required background and historical material, and culminating in the final chapters with state-of-the-art topics. Good examples, In some domains of mechanics, physics and control theory boundary value problems arise for nonlinear In some domains of mechanics, physics and control theory boundary value problems arise for nonlinear first order PDEs. A well-known classical result states a sufficiency condition for local existence and uniqueness of twice differentiable solution. This result is based on Duke Math. Tillman, Cambridge University Press, , Proceedings of Symposia in Pure Mathematics, Vol.

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