Preprint (PDF) 1993

Differential and Integral Equations 7 (1994), 1265-1284

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Differential and Integral Equations 7 (1994), 1265-1284

Citations on Google Scholar

The main purpose of this article is to give conditions on a nonnegative weight function \(m\) which are necessary and sufficient for the zero solution of the linear time-periodic parabolic equation \[ \partial_t u-\Delta u=-m(x,t)u \quad\text{in }\mathbb R^N\times(0,\infty) \] to be exponentially stable and to apply these results to the study of change of stability in parameter dependent time-periodic parabolic problems.

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