BLOW-UP OF SOLUTIONS TO A NONLINEAR WAVE EQUATION WITH A TIME DELAY
CONDITION OF FRACTIONAL TYPE AND LOGARITHMIC NONLINEARITY
AbstractIn the present work, we consider a nonlinear wave equation with a time
delay condition of fractional type and a logarithmic source. Using the
semigroup theory, we get the existence of a local weak solution.
Moreover, we show that this solution blows up in finite time with