Time-Periodic Quasi-Linear Reaction-Diffusion Equations
Mary Margarita Legner, Victor L. Shapiro · SIAM Journal on Mathematical Analysis · 1996
A resonance result for a time-periodic quasi-linear reaction-diffusion system with (possibly) different diffusion coefficients is established. The driving force of the system may depend upon the dependent variables as well as their derivatives. Also a nonresonance result below the common first associated eigenvalue is stated and proved, and an example of an autocatalytic system illustrating this result is presented. Two other examples for the resonance result are also presented.