On regularity estimates for mappings between embedded manifolds

• Autorzy: Ioffe A.
• Języki publikacji: EN

Abstrakty

EN

We describe a class of metric spaces such that for set-valued mappings into such spaces it is possible to give a precise expression of regularity moduli in terms of slopes of DeGiorgi-Marino-Tosques. We also show that smooth manifolds in Banach spaces endowed with the induced metric belong to this class.

Słowa kluczowe

EN

metric regularity; slope; locally coherent space

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2007
• Tom: Vol. 36, no 3
• Strony: 659--668
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Ioffe A.

• Department of Mathematics, Technion Haifa 32000, Israel

Bibliografia

• AUBIN, J.P. and EKELAND, I. (1984) Applied Functional Analysis. 3. Wiley.
• AZÉ, D. and CORVELLEC, J.-N. (2004) Characterization of error bounds for lower semicontinuous functions on metric spaces. ESIAM Contr. Opt. Calc. Var. 10, 409-425.
• DE GIORGI, E., MARINO, A. and TOSQUES, M. (1980) Problemi di evoluzione in spazi metrici e curve di massima pendenza. Atti Acad. Nat. Lincei, Rend. Cl. Sci. Fiz. Mat. Natur. 68, 180-187.
• IOFFE, A.D. (2000) Metric regularity and subdifferential calculus. Uspehi Mat. Nauk 55 (3) 103-162 (in Russian), English translation: Russian Math. Surveys 55 (3), 501-558.