Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate

Discrete growth–decay–fragmentation equation: well-posedness and long-term dynamics

(2019) J. Banasiak et al.   JOURNAL OF EVOLUTION EQUATIONS

On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors

(2019) Jean Bertoin   JOURNAL OF FUNCTIONAL ANALYSIS

ON A CELL DIVISION EQUATION WITH A LINEAR GROWTH RATE

(2018) B. VAN BRUNT et al.   ANZIAM JOURNAL

A probabilistic approach to spectral analysis of growth-fragmentation equations

(2018) Jean Bertoin et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate

(2017) Étienne Bernard et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Probabilistic aspects of critical growth-fragmentation equations

(2016) Jean Bertoin et al.   ADVANCES IN APPLIED PROBABILITY

Spectral analysis of semigroups and growth-fragmentation equations

(2016) S. Mischler et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Time asymptotics for a critical case in fragmentation and growth-fragmentation equations

(2016) Miguel Escobedo et al.   Kinetic and Related Models

On $\mathcal{H}^1$ and entropic convergence for contractive PDMP

(2015) Pierre Monmarché   ELECTRONIC JOURNAL OF PROBABILITY

Solutions to an advanced functional partial differential equation of the pantograph type: Figure 1.

(2015) Ali A. Zaidi et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation

(2014) Khashayar Pakdaman et al.   Journal of Mathematical Neuroscience

Exponential relaxation to self-similarity for the superquadratic fragmentation equation

(2013) P. Gabriel et al.   APPLIED MATHEMATICS LETTERS

Exponential decay for the growth-fragmentation/cell-division equations

(2013) Philippe Laurençot et al.   Communications in Mathematical Sciences

Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates

(2013) Daniel Balagué et al.   Kinetic and Related Models

Asynchronous Exponential Growth of a General Structured Population Model

(2011) Jacek Banasiak et al.   ACTA APPLICANDAE MATHEMATICAE

Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations

(2011) María J. Cáceres et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

On Perturbed Substochastic Semigroups in Abstract State Spaces

(2011) Luisa Arlotti et al.   ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL

(2010) MARIE DOUMIC JAUFFRET et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

On the long time behavior of the TCP window size process

(2010) Djalil Chafaï et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

Substochastic semigroups and densities of piecewise deterministic Markov processes

(2009) Marta Tyran-Kamińska   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS