Semilinear hyperbolic systems with blowup at infinity
Serge Alinhac
35L40energy inequalitynull conditionweak null conditionblowup at infinity
We investigate semilinear hyperbolic systems in three-space dimensions with quadratic terms in gradient of the solution, not satisfying the null condition. Under some algebraic conditions ensuring global existence for solutions of the reduced systems (the so-called weak null condition of Lindblad and Rodnianski), we prove global existence of classical solutions for these systems.
Indiana University Mathematics Journal
2006
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10.1512/iumj.2006.55.2671
10.1512/iumj.2006.55.2671
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Indiana Univ. Math. J. 55 (2006) 1209 - 1232
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