The Log-effect for p-evolution type models

Massimo CICOGNANI; Fumihiko HIROSAWA; Michael REISSIG

doi:10.2969/jmsj/06030819

Translator Disclaimer

July, 2008 The Log-effect for p-evolution type models

Massimo CICOGNANI, Fumihiko HIROSAWA, Michael REISSIG

J. Math. Soc. Japan 60(3): 819-863 (July, 2008). DOI: 10.2969/jmsj/06030819

Abstract

The goal of the paper is to study the Log-effect for special $p$ -evolution type models. The loss of regularity is related in an optimal way due to some unboundedness conditions for the derivatives of coefficients up to the second order with respect to $t$ . Some counter-examples show that these conditions are sharp. We present the state of art of methods to construct such counter-examples.

Citation

Download Citation

Massimo CICOGNANI. Fumihiko HIROSAWA. Michael REISSIG. "The Log-effect for p-evolution type models." J. Math. Soc. Japan 60 (3) 819 - 863, July, 2008. https://doi.org/10.2969/jmsj/06030819