References
Baiocchi, C., Baouendi, M.S.: Singular evolution equations. J. Funct. Anal.25, 103–120 (1977)
Bernardi, M.L.: Su alcune equazioni d'evoluzione singolari. Boll. Unione Mat. Ital.13 B, 498–517 (1976)
Carroll, R.W., Showalter, R.E.: Singular and degenerate Cauchy problems. London, New York: Academic Press 1976
Coppoletta, G.: Abstract singular evolution equations of “hyperbolic” type. Funct. Anal.50, 50–66 (1983)
Da Prato, G., Grisvard, P.: Sommes d'opérateurs linéaires et équations différentielles opérationnelles. J. Math. Pures Appl.54, 305–387 (1975)
Da Prato, G., Grisvard, P.: On an abstract singular Cauchy problem. Comm. Partial Differ. Equations3, 1077–1082 (1978)
Dubinskii, Ju.A.: On some differential-operator equations of arbitrary order. Mat. Sborn.90 (132); english trans.: Math. USSR Sborn.19, 1 21 (1973)
Favini, A.: Abstract potential operators and spectral methods for a class of degenerate evolution problems. J. Differ. Equations39, 212–225 (1981)
Friedman, A., Schuss, Z.: Degenerate evolution equations in Hilbert space. Trans. AMS161, 401–427 (1971)
Grisvard, P.: Equations différentielles abstraites. Ann. E.N.S. Paris,2, 311–395 (1969)
Lions, J.L., Magenes, E.: Problèmes aux limites non homogènes et applications. Vol. 1. Paris: Dunod 1968
Showalter, R.E.: Hilbert space methods for partial differential equations. London: Pitman 1977
Tanabe, H.: Equations of evolution, London: Pitman 1979
Triebel, H.: Interpolation theory, function spaces, differential operators. Amsterdam: North Holland 1978
Yosida, K.: Functional analysis. Berlin, Heidelberg, New York: Springer 1966
Author information
Authors and Affiliations
Additional information
The work was partially supported by the GNAFA of CNR
Rights and permissions
About this article
Cite this article
Favini, A. Degenerate and singular evolution equations in Banach space. Math. Ann. 273, 17–44 (1985). https://doi.org/10.1007/BF01455912
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01455912