Nonlinear analysis and measure theory; recent results of the mathematical seminar in perugia

DOI10.1080/00036819708840564zbMath0886.46025OpenAlexW2014173485WikidataQ58161950 ScholiaQ58161950MaRDI QIDQ4354174

Calogero Vinti

Publication date: 13 September 1997

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840564

zbMATH Keywords

asymptotic stabilitymodulus of continuityLagrangian systemsmodular spacesRadon-Nikodým theoremsnuclear decompositionsoperators of integral typequasi martingales

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Stability in context of PDEs (35B35) Generalizations of martingales (60G48) Vector-valued set functions, measures and integrals (28B05) Stability of solutions to ordinary differential equations (34D20) General theory of ordinary differential operators (47E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Equations and inequalities involving linear operators, with vector unknowns (47A50) Lagrange's equations (70H03)

Cites Work

• Orlicz spaces and modular spaces
• Precise damping conditions for global asymptotic stability for nonlinear second order systems
• Precise damping conditions for global asymptotic stability for nonlinear second order systems. II
• Non-existence of one-signed solutions for variational equations with locally amplifying potentials
• Asymptotic stability for abstract evolution equations and applications to partial differential systems
• Asymptotic stability for ordinary differential systems with time-dependent restoring potentials
• On very singular self-similar solutions for the porous media equation with absorption
• Modular convergence in generalized orlicz spaces for moment type operators
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
• Existence of solutions for holonomic dynamical systems with homogeneous boundary conditions
• Outer Measures with Values in a Topological Group
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