Unique continuation results for abstract quasi-linear evolution equations in Banach spaces

Autor(es)

Freire, Igor Leite

• Tipo de documento: Artigo Científico
• Fonte: DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS; v. 20, n. 3, p. 17-pg., 2023-01-01.

Resumo

. Unique continuation properties for a class of evolution equations defined on Banach spaces are considered from two different point of views: the first one is based on the existence of conserved quantities, which very often translates into the conservation of some norm of the solutions in a suitable Banach space. The second one considers well-posed problems. Our results are then applied to some equations, most of them describing physical processes like wave propagation, hydrodynamics, and integrable systems, such as the potential and pi-Camassa-Holm; generalised Boussinesq equations; and the modified Euler-Poisson system. (AU)

• Processo FAPESP: 20/02055-0 - Equações de Novikov com não-linearidades quadráticas: propriedades estruturais e qualitativas
• Beneficiário: Igor Leite Freire
• Modalidade de apoio: Auxílio à Pesquisa - Regular