On the global existence of solutions of a reaction-diffusion equation with exponential nonlinearity

Assia Barabanova
1994 Proceedings of the American Mathematical Society  
We generalize the result of Haraux and Youkana concerning the global existence of nonnegative solutions of a reaction-diffusion equation with exponential nonlinearity. We also show the asymptotic behavior of the global solutions as t -» co .
doi:10.1090/s0002-9939-1994-1207533-6 fatcat:dyqflmpgwbc2zfj5vq45vb6n4a