Time-periodic Parabolic Equations on Jrn
نویسندگان
چکیده
to be exponentially stable and to apply these results to the study of change of stability in parameter dependent time-periodic parabolic problems. Here, !:::.. denotes the Laplacian in JRN and the weight-function lies in C~(JR, BUC(JRN)), the space of v-HOlder continuous and T -periodic functions taking values in the space of bounded uniformly continuous functions on JRN (v E (0, 1) and T > 0 fixed). Stability is to be understood either with respect to the Looor the L1-norm and initial conditions are taken in the spaces CO(JRN) and BUC(JRN) or Ll (JRN), respectively. As it turns out exponential stability will be a property which does not depend on the underlying space .. Our first characterization of exponential stability will be in terms of a quality that m may have or not as an inhomogeneity in the initial value problem
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