The Nature Of The Solution Of A Class Of P-Laplacian Equation And Heat Conduction Equations

The thesis by using comparison principle, Upper and lower solution method,Studied the following about P - Laplacian equation with initial boundary value problem:Where p>1,and p is a given constant; u0 is a non-negative function and is smooth boundary bounded area in Rn.Define:Got the solution of the equation has extinction and non-extinction traits under the condition of initial value Boundary value.And studied the initial-boundary value problem of heat conduction equations as follows:Where m,n≥0,p,q> 0,α,β> 0,and they are constants. u0, vo are initial value. And satisfy:0< u0< 1,0< v0< 1; u’o, v’o< 0. Discussed respectively the solution of equation of quenching, quenching point set and quenching points about time derivative is blasting...