Young Measure Solutions of Some Nonlinear Mixed Type Equations

H.-P. Gittel ()
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H.-P. Gittel: University of Leipzig, Department of Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 551-558 from Springer

Abstract: This contribution deals with measure-valued solutions to two types of nonlinear partial differential equations for which general existence results fail to exist. They are the potential equation for transonic flow and the associated unsteady problem (forward–backward diffusion equation). The solutions are constructed by an iteration scheme (Katchanov method) and additional time discretization (Rothe method) in the second case. The existence is proved in the sense of spatial gradient Young measures.

Keywords: Optimal Control Theory; Potential Equation; Young Measure; Unsteady Problem; Gradient Young Measure (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_53

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DOI: 10.1007/978-3-540-75712-2_53

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