MECHANISM OF THE FORMATION OF SINGULARITIES FOR DIAGONAL SYSTEMS WITH LINEARLY DEGENERATE CHARACTERISTIC FIELDS

作者：Yang Yong Fu^*

来源：Communications on Pure and Applied Analysis, 2009, 8(2): 757-768.

DOI：10.3934/cpaa.2009.8.757

• Formation of singularities
• Cauchy problem
• one-side mixed initial-boundary value problem
• global C(1) solution
• quasilinear hyperbolic system of diagonal form
• linearly degenerate characteristic

For inhomogeneous diagonal system with distinct characteristics or with characteristics with constant multiplicity, under the assumption that the system is linearly degenerate and the C(1) norm of the initial data is bounded, we show that the mechanism of the formation of singularities of classical solution to its Cauchy problem must be of ODE type. Similar results are also obtained for corresponding mixed initial-boundary value problems on a semi-unbounded domain.

• 出版日期2009-3
• 单位河海大学