Some Results On Nonlinear Wave Equation And Hyperbolic Thermoelastic Contact Problem

In this paper, we discuss the blowup of solutions for nonlinear q-Laplacian wave equation; We also get some results on a class of semilinear hyperbolic thermoelastic contact problem .In Chapter 2, we study the blowup of solutions for the nonlinear q-Laplacian wave equation with negative initial energy; Meanwhile, we get the solution also blows up with suitable positive initial energy under some conditions.In Chapter 3, we consider a class of semilinear hyperbolic thermoelastic contact problem and prove the existence of the weak solution. Moreover, exponential decay for this semilinear thermoelastic contact problem is obtained.