Linear symmetric hyperbolic systems

Reinhard Racke
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Reinhard Racke: University of Konstanz, Department of Mathematics and Statistics

Chapter 3 in Lectures on Nonlinear Evolution Equations, 2015, pp 21-33 from Springer

Abstract: Abstract Let $$u=u(t,x)=(u_1,\ldots,u_{N})(t,x), t\geq 0,x \in \mathrm{I}\!\mathrm{R}^{n}, N \in \mathrm{I}\!\mathrm{N}$$ , and let the formal linear differential operator L be defined by $$Lu := A^{0}(t,x)\partial_{t}u + \sum\limits^{n}_{j=1}A^{j}(t,x)\partial_{j}u + B(t,x)u$$ .

Keywords: Compact Support; Lateral Surface; Propagation Speed; Energy Estimate; Nonlinear Evolution Equation (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-21873-1_4

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