Radially Symmetric Patterns of Reaction-Diffusion Systems

Radially Symmetric Patterns of Reaction-Diffusion Systems PDF Author: Arnd Scheel
Publisher: American Mathematical Soc.
ISBN: 0821833731
Category : Mathematics
Languages : en
Pages : 102

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Book Description
Includes a paper that studies bifurcations of stationary and time-periodic solutions to reaction-diffusion systems. This title develops a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns.

Ergodic Theory of Equivariant Diffeomorphisms: Markov Partitions and Stable Ergodicity

Ergodic Theory of Equivariant Diffeomorphisms: Markov Partitions and Stable Ergodicity PDF Author: Mike Field
Publisher: American Mathematical Soc.
ISBN: 0821835998
Category : Mathematics
Languages : en
Pages : 113

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Book Description
On the assumption that the $\Gamma$-orbits all have dimension equal to that of $\Gamma$, this title shows that there is a naturally defined $F$- and $\Gamma$-invariant measure $\nu$ of maximal entropy on $\Lambda$ (it is not assumed that the action of $\Gamma$ is free).

Representation Theory and Numerical AF-Invariants

Representation Theory and Numerical AF-Invariants PDF Author: Ola Bratteli
Publisher: American Mathematical Soc.
ISBN: 0821834916
Category : Mathematics
Languages : en
Pages : 202

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Book Description
Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.

Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models

Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models PDF Author: Pierre Magal
Publisher: American Mathematical Soc.
ISBN: 0821846531
Category : Mathematics
Languages : en
Pages : 84

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Book Description
Several types of differential equations, such as delay differential equations, age-structure models in population dynamics, evolution equations with boundary conditions, can be written as semilinear Cauchy problems with an operator which is not densely defined in its domain. The goal of this paper is to develop a center manifold theory for semilinear Cauchy problems with non-dense domain. Using Liapunov-Perron method and following the techniques of Vanderbauwhede et al. in treating infinite dimensional systems, the authors study the existence and smoothness of center manifolds for semilinear Cauchy problems with non-dense domain. As an application, they use the center manifold theorem to establish a Hopf bifurcation theorem for age structured models.

Integral Transformations and Anticipative Calculus for Fractional Brownian Motions

Integral Transformations and Anticipative Calculus for Fractional Brownian Motions PDF Author: Yaozhong Hu
Publisher: American Mathematical Soc.
ISBN: 0821837044
Category : Mathematics
Languages : en
Pages : 144

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Book Description
A paper that studies two types of integral transformation associated with fractional Brownian motion. They are applied to construct approximation schemes for fractional Brownian motion by polygonal approximation of standard Brownian motion. This approximation is the best in the sense that it minimizes the mean square error.

Large Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems

Large Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems PDF Author: Guy Métivier
Publisher: American Mathematical Soc.
ISBN: 0821836498
Category : Mathematics
Languages : en
Pages : 122

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Book Description
Studies two types of integral transformation associated with fractional Brownian motion, that are applied to construct approximation schemes for fractional Brownian motion by polygonal approximation of standard Brownian motion. This approximation is the best in the sense that it minimizes the mean square error.

Generative Complexity in Algebra

Generative Complexity in Algebra PDF Author: Joel Berman
Publisher: American Mathematical Soc.
ISBN: 0821837079
Category : Mathematics
Languages : en
Pages : 176

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Book Description
Considers the behavior of $\mathrm{G}_\mathcal{C}(k)$ when $\mathcal{C}$ is a locally finite equational class (variety) of algebras and $k$ is finite. This title looks at ways that algebraic properties of $\mathcal{C}$ lead to upper or lower bounds on generative complexity.

Maximum Principles on Riemannian Manifolds and Applications

Maximum Principles on Riemannian Manifolds and Applications PDF Author: Stefano Pigola
Publisher: American Mathematical Soc.
ISBN: 0821836390
Category : Mathematics
Languages : en
Pages : 118

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Book Description
Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.

$\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type

$\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type PDF Author: Robert Denk
Publisher: American Mathematical Soc.
ISBN: 0821833782
Category : Mathematics
Languages : en
Pages : 130

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Book Description
The property of maximal $L_p$-regularity for parabolic evolution equations is investigated via the concept of $\mathcal R$-sectorial operators and operator-valued Fourier multipliers. As application, we consider the $L_q$-realization of an elliptic boundary value problem of order $2m$ with operator-valued coefficients subject to general boundary conditions. We show that there is maximal $L_p$-$L_q$-regularity for the solution of the associated Cauchy problem provided the top order coefficients are bounded and uniformly continuous.

The $RO(G)$-Graded Equivariant Ordinary Homology of $G$-Cell Complexes with Even-Dimensional Cells for $G=\mathbb {Z}/p$

The $RO(G)$-Graded Equivariant Ordinary Homology of $G$-Cell Complexes with Even-Dimensional Cells for $G=\mathbb {Z}/p$ PDF Author:
Publisher: American Mathematical Soc.
ISBN: 0821834614
Category :
Languages : en
Pages : 146

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Book Description