Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/467

 Title: Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems Authors: Boiti, ChiaraManfrin, Renato Keywords: Blow-upHyperbolic Systems Issue Date: 2001 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 27, No 1, (2001), 67p-90p Abstract: We present some results on the formation of singularities for C^1 - solutions of the quasi-linear N × N strictly hyperbolic system Ut + A(U )Ux = 0 in [0, +∞) × Rx . Under certain weak non-linearity conditions (weaker than genuine non-linearity), we prove that the first order derivative of the solution blows-up in finite time. URI: http://hdl.handle.net/10525/467 ISSN: 1310-6600 Appears in Collections: Volume 27 Number 1

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