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Identidades e polinômios centrais com involução para a álgebra das matrizes triangulares superiores 2x2
(Universidade Federal de São Carlos, 2018-08-16)
Let F be a field of characteristic diferent from 2. Denote by UT2(F) the 2x2 upper triangular matrix F-algebra. If * is a involution of first kind of UT2(F), denote by Id(UT2(F); * and
C(UT2(F); *) the set of its ...
Ações de Zr2 fixando RPj U CPk
(Universidade Federal de São Carlos, 2017-03-07)
The classification up to equivariant cobordism of smooth involutios (M, T) having fixed set F is a classical problem in cobordism theory. This classification has been studied for several cases of F, of which we highlight ...
Limites singulares para equações do tipo Rosenau-KdV-RLW e Benney-Lin : existência e convergência de soluções
(Universidade Federal de São Carlos, 2017-09-01)
We consider the approximations
@tu + @xf(u) + b1@3xu + b2@t@2xu + 2c@t@4 xu = @2xu (4)
and
@tu + @xf(u) + @2xu + 2b@3 xu + 3c@4xu + 5d@5xu = @2xu (5)
of the Rosenau-KdV-RLW and Benney-Lin equations and ...
Euclidean hypersurfaces with genuine conformal deformations in codimension two
(Universidade Federal de São Carlos, 2018-01-05)
We classify hypersurfaces f:Mn → Rn+1 with a principal curvature of multiplicity n − 2 that admit a genuine conformal deformation f':Mn → Rn+2. That a conformal deformation f':Mn → Rn+2 of f is genuine means that there ...
Involuções fixando FnUF3
(Universidade Federal de São Carlos, 2010-12-15)
Let Mm a closed and smooth m-dimensional manifold and T : Mm - Mm a smooth involution defined on Mm. It is well known that the fixed point set F of T is a finite and disjoint union of closed submanifolds, with possibly ...
Unicidade para equações dos tipos: Burgers, Kuramoto-Sivashinsky e Schrödinger
(Universidade Federal de São Carlos, 2017-12-15)
Based on Carleman's estimates and under certain conditions of linear exponential decay we prove uniqueness for equations of type: Burgers, Kuramoto-Sivashinsky and Schrödinger.
Campos localmente resolúveis, espaços de Hardy e extensão de funções CR
(Universidade Federal de São Carlos, 2012-05-23)
Suppose that M is a smooth submanifold of CN and that L = ∪z∈CnLz is the Cauchy- Riemann structure associated to the N-dimensional complex space. For each p ∈ M we can consider the vector space Ap = CTpM ...
Grafeno multicamadas através de grafos quânticos periódicos: cones de Dirac
(Universidade Federal de São Carlos, 2020-03-06)
We study the spectral characterization and Dirac cones, always through periodic quantum graphs, in three situations. Firstly, we model bidimensional honeycomb materials, for instance, Graphene and Boron Nitride. We consider ...
Representação de soluções homogêneas contínuas de campos vetoriais no plano
(Universidade Federal de São Carlos, 2015-06-11)
In this work we study conditions for the validity of the analogue of Mergelyan’s
theorem for continuous solutions of a type of locally integrable vector field.
On a domain in the plane, we consider a vector field L that ...
Mínimos locais de funcionais com dependência especial via Γ-convergência: com e sem vínculo
(Universidade Federal de São Carlos, 2011-05-30)
We address the question of existence of stationary stable solutions to a class of reaction-diffusion equations with spatial dependence in 2 and 3-dimensional bounded domains. The approach consists of proving the existence ...