Abstract
In this paper we study the local solvability in Gevrey classes for degenerate parabolic operators of order ≥ 2. We assume that the lower order term vanishes at a suitably smaller rate with respect to the principal part; we then analyze its influence on the behavior of the operator, proving local solvability in Gevrey spaces G s for small s, and local nonsolvability in G s for large s.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Oliaro, A., Popivanov, P. (2006). Gevrey Local Solvability for Degenerate Parabolic Operators of Higher Order. In: Toft, J. (eds) Modern Trends in Pseudo-Differential Operators. Operator Theory: Advances and Applications, vol 172. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8116-5_8
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DOI: https://doi.org/10.1007/978-3-7643-8116-5_8
Publisher Name: Birkhäuser Basel
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