Stochastic morphological evolution equations

DOI10.1016/j.jde.2011.03.013zbMath1230.35149OpenAlexW2093057338MaRDI QIDQ640050

Thomas Lorenz, Peter E. Kloeden

Publication date: 12 October 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.03.013

zbMATH Keywords

nucleationnonlocal evolution equationsrandom closed setsItô stochastic inclusion equationsmorphological equationsset-valued evolution equations

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) PDEs with multivalued right-hand sides (35R70) Evolution inclusions (34G25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60) Attainable sets, reachability (93B03)

Related Items (9)

Differential equations for closed sets in a Banach space, survey and extension ⋮ Weak pullback mean random attractors for stochastic evolution equations and applications ⋮ A viability theorem for set-valued states in a Hilbert space ⋮ A Peano theorem for fuzzy differential equations with evolving membership grade ⋮ Filippov’s Theorem for mutational inclusions in a metric space ⋮ A note on fuzzy set-valued Brownian motion ⋮ Mean-square random dynamical systems ⋮ Nonlocal multi-scale traffic flow models: analysis beyond vector spaces ⋮ Set-Valued Stochastic Integrals and Equations with Respect to Two-Parameter Martingales

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong solution of Itô type set-valued stochastic differential equation
• Mutational analysis. A joint framework for Cauchy problems in and beyond vector spaces
• Convex analysis and measurable multifunctions
• Mutational and morphological analysis. Tools for shape evolution and morphogenesis
• On solutions to stochastic differential inclusions
• Stochastic invariance for differential inclusions
• On the solution of stochastic differential inclusion
• Mutational equations in metrics spaces
• Stochastic set differential equations
• Stochastic Differential Equations with Nonlocal Sample Dependence
• Morphological Control Problems with State Constraints
• On general semi dynamical systems
• On the theory of set-valued maps of bounded variation of one real variable
• A stochastic filippov theorem
• Viable solutions of set-valued stochastic equation
• Optimal solutions to stochastic differential inclusions
• Integration in a dynamical stochastic geometric framework
• Theory of Random Sets
• Set-valued analysis
• Viability theory

This page was built for publication: Stochastic morphological evolution equations