This paper deals with the Cauchy problem for the system of semilinear wave equations with small initial data. We give the upper bounds for the lifespan of the classical solution to the systems.
The uniqueness and existence of BV solutions to Dirichlet problem of doubly degenerate parabolic equations of the following form au/at=div(A(|↓△B(u)|↓△B(u))in QT=Ω×(0,T) are
For quasilinear hyperbolic systems with characteristics of constant multiplicity, suppose that characteristics of constant multiplicity(> 1) are linearly degenerate, by means of generalized normalized coordinates w...For quasilinear hyperbolic systems with characteristics of constant multiplicity, suppose that characteristics of constant multiplicity(> 1) are linearly degenerate, by means of generalized normalized coordinates we get the global existence and the blow-up phenomenon of the C^1 solution to the Cauchy problem under an additional hypothesis.展开更多
文摘This paper deals with the Cauchy problem for the system of semilinear wave equations with small initial data. We give the upper bounds for the lifespan of the classical solution to the systems.
文摘The uniqueness and existence of BV solutions to Dirichlet problem of doubly degenerate parabolic equations of the following form au/at=div(A(|↓△B(u)|↓△B(u))in QT=Ω×(0,T) are
文摘For quasilinear hyperbolic systems with characteristics of constant multiplicity, suppose that characteristics of constant multiplicity(> 1) are linearly degenerate, by means of generalized normalized coordinates we get the global existence and the blow-up phenomenon of the C^1 solution to the Cauchy problem under an additional hypothesis.
