Asymptotic Behavior Near Zeros of Solutions of Elliptic and Parabolic Equations

Autores

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

DOI:

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

Palavras-chave:

Elliptic and parabolic equations, Local asymptoties, Unique continuation

Resumo

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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Publicado

1997-03-17

Edição

v. 3 n. 1 (1997)

Seção

Contents

Licença

Copyright (c) 1997 Xu-Yan Chen

Creative Commons License

Este trabalho está licenciado sob uma licença Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Como Citar

Asymptotic Behavior Near Zeros of Solutions of Elliptic and Parabolic Equations. (1997). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 3(1), 13-24. https://doi.org/10.11606/resimeusp.v3i1.74850