Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem
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Publication:3383045
DOI10.1137/20M1338654zbMath1476.35038arXiv2004.08343OpenAlexW3199837225MaRDI QIDQ3383045
Pierre Gabriel, José A. Cañizo, Havva Yoldas
Publication date: 23 September 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.08343
Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25)
Related Items (12)
On quantitative hypocoercivity estimates based on Harris-type theorems ⋮ On spectral gaps of growth-fragmentation semigroups with mass loss or death ⋮ Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation ⋮ On spectral gaps of growth-fragmentation semigroups in higher moment spaces ⋮ Strong laws of large numbers for a growth-fragmentation process with bounded cell sizes ⋮ Exponential ergodicity of a degenerate age-size piecewise deterministic process ⋮ On the Asymptotic Behavior of a Run and Tumble Equation for Bacterial Chemotaxis ⋮ Confining integro-differential equations originating from evolutionary biology: ground states and long time dynamics ⋮ Modelling physiologically structured populations: renewal equations and partial differential equations ⋮ Harris-type results on geometric and subgeometric convergence to equilibrium for stochastic semigroups ⋮ Ergodic Behaviour of a Multi-Type Growth-Fragmentation Process Modelling the Mycelial Network of a Filamentous Fungus ⋮ Probabilistic representations of fragmentation equations
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