an:00823532
Zbl 0839.35085
Chen, Guowang; Wang, Shubin
Existence and non-existence of global solutions for nonlinear hyperbolic equations of higher order
EN
Commentat. Math. Univ. Carol. 36, No. 3, 475-487 (1995).
00029724
1995
j
35L75 74H45 74K10
global solution; blow up
The authors prove the existence and uniqueness of a classical local solution and classical global solution and blow up of the solution for the equation \(u_{tt}- au_{xx}- bu_{xxtt}= f(u_x)_x\) satisfying Dirichlet or Neumann boundary conditions. The results are applied to the equation of nonlinear waves in elastic rod, where \(f(s)= sn\).
M.Kop????kov?? (Praha)