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Counter-examples of regularity behavior for σ-evolution equations
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2011, Vol. 382 Issue 1, p148-161. 14p. - Publication Year :
- 2011
-
Abstract
- Abstract: In this paper, we mainly discuss the infinite loss of regularity and μ-loss for a σ-evolution type model with oscillating in time coefficients. On the one hand, an explicit counter-example has been constructed in the frequency space to show the precise infinite loss of regularity. On the other hand, due to the finite propagation speed property for , we construct the counter-example of a sequence of solutions in by applying state of art techniques. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 382
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 60769480
- Full Text :
- https://doi.org/10.1016/j.jmaa.2011.04.036