On a Degenerate Nonlocal Parabolic Problem Describing Infinite Dimensional Replicator Dynamics
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Publication:5737781
DOI10.1137/15M1053840zbMath1365.35195arXiv1508.06149OpenAlexW2964177237MaRDI QIDQ5737781
Nikos I. Kavallaris, Michael Winkler, Johannes Lankeit
Publication date: 30 May 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.06149
blow-updegenerate diffusionevolutionary gamesnonlocal nonlinearityinfinite dimensional replicator dynamics
Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Evolutionary games (91A22) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)
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Cites Work
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- Similarity solutions of a multidimensional replicator dynamics integrodifferential equation
- Equilibration of unit mass solutions to a degenerate parabolic equation with a nonlocal gradient nonlinearity
- Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains
- Dynamical aspects of evolutionary stability
- Uniform blow-up rate for a nonlocal degenerate parabolic equations
- Similarity solutions for a multi-dimensional replicator dynamics equation
- Blow-up for a nonlocal parabolic equation
- On a class of operator equations arising in infinite dimensional replicator dynamics
- Blow-up of solutions of nonlinear degenerate parabolic equations
- A positivity property of solutions of nonlinear diffusion equations
- Examples of parabolic problems with blowing-up derivatives
- Evolutionarily stable strategies and game dynamics
- A degenerate diffusion problem not in divergence form
- Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
- Robustness of optimal mixed strategies
- Blow-up of solutions to a degenerate parabolic equation not in divergence form
- Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions
- On the dynamic foundation of evolutionary stability in continuous models.
- Optimal mixed strategies in stochastic environments
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Interior gradient blow-up in a semilinear parabolic equation
- A further blow-up analysis for a localized porous medium equation
- A degenerate diffusion equation with a nonlinear source term
- Regional Blow Up in a Semilinear Heat Equation with Convergence to a Hamilton–Jacobi Equation
- Uniform blow-up profile and boundary behaviour for a non-local reaction–diffusion equation with critical damping
- Discontinuous "Viscosity" Solutions of a Degenerate Parabolic Equation
- Similarity Solutions of a Replicator Dynamics Equation Associated to a Continuum of Pure Strategies
- Positivity properties of viscosity solutions of a degenerate parabolic equation
- Nondegeneracy of blowup for semilinear heat equations
- Similarity solutions for a replicator dynamics equation
- Finite time vs. infinite time gradient blow-up in a degenerate diffusion equation
- Global blow-up of a nonlinear heat equation
- Blow-up in Nonlocal Reaction-Diffusion Equations
- Evolutionary game dynamics
- A critical exponent in a degenerate parabolic equation
- Boundedness vs. blow-up in a degenerate diffusion equation with gradient nonlinearity
- Evolutionary dynamics on infinite strategy spaces
- The blow-up rate for a degenerate parabolic equation with a non-local source