Exponential relaxation to self-similarity for the superquadratic fragmentation equation

Abstract

We consider the self-similar fragmentation equation with a superquadratic fragmentation rate and provide a quantitative estimate of the spectral gap.

References in corpus (6)

• Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations
• Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates
• Rate of convergence to self-similarity for the fragmentation equation in L^1 spaces
• Long-time Asymptotics for Nonlinear Growth-fragmentation Equations
• Wasserstein decay of one dimensional jump-diffusions
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Cited by in corpus (7)

• A non-conservative Harris ergodic theorem
• Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts
• Spectral gap for the growth-fragmentation equation via Harris's Theorem
• Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate
• Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation
• Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate
• Global stability for the prion equation with general incidence