Asymptotic Behavior Near Zeros of Solutions of Elliptic and Parabolic Equations

Authors

  • Xu-Yan Chen School of Mathematics, Georgia Institute of Technology

DOI:

https://doi.org/10.11606/resimeusp.v3i1.74850

Keywords:

Elliptic and parabolic equations, Local asymptoties, Unique continuation

Abstract

This paper discusses two aspects of local behavior of solutions of elliptic and parabolic equations, namely, polynomial asymptotics and unique continuation. Particular stress is laid on describing a new approach to these problems, by connecting to the theory of Lyapunov exponents in dynamical systems via scaling transforms. New results obtained along this line are presented with a sketch of the key ingredients of the proofs.

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How to Cite

Asymptotic Behavior Near Zeros of Solutions of Elliptic and Parabolic Equations. (2014). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 3(1), 13-24. https://doi.org/10.11606/resimeusp.v3i1.74850