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Stability conditions
for nonlinear products and semigroups
Eric Schechter |
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Vol. 85 (1979), No. 1, 179–200
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Abstract |
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Let D be a subset of a Banach space. Suppose R(t) : D → D (t ≧ 0) is an “almost-semigroup,” in the sense that R(t)R(s) is close to R(t + s). If R also satisfies certain stability conditions, then R(t∕n)n converges to some semigroup S(t) as n →∞. The stability conditions are motivated by several examples involving nonlinear partial differential equations. |
Mathematical Subject Classification 2000
Primary: 47H20
Secondary: 35G20
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Milestones
Received: 7 November 1978
Published: 1 November 1979
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Authors |
| Eric Schechter | |
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