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References
J. B. Cooper, Saks Spaces and Applications to Functional Analysis, Mathematics Studies 28, North-Holland, 1978.
M. Crandall, A. Pazy and L. Tartar, Remarks on generators of analytic semigroups, Israel J. Math., 32 (4) (1979), 365–374.
D. H. Fremlin, Topological Riesz Spaces and Measure Theory, Cambridge University Press, 1974.
H. G. Garnir, M. De Wilde and J. Schmets, Analyse Fonctionnelle, T. II, Measure et intégration dans l'espace euclidien, Birkhäuser Verlag, Basel, 1972.
K. Hashimoto and S. Oharu, Integration in Fréchet lattices with applications to operator semigroups, to appear.
K. Hashimoto, T. Kusano and S. Oharu, Semilinear evolution equations in Fréchet lattices, to appear.
N. Kawano and T. Kusano, On positive entire solutions of a class of second order semilinear elliptic systems, Math. Z., 186 (1984), 287–297.
T. Kusano and S. Oharu, Semilinear evolution equations in Fréchet lattices with applications to parabolic systems, to appear.
T. Kusano and S. Oharu, Bounded entire solutions of second order semilinear elliptic equations with application to a parabolic initial value problem, Indiana Univ. Math. J., 34 (1985), 85–95.
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences 44, Springer-Verlag, 1983.
T. Takahashi and S. Oharu, Approximation of operator semigroups in a Banach space, Tôhoku Math. J., 24 (4) (1972), 505–528.
K. Yosida, Functional Analysis (6th edition), Springer-Verlag, New York, 1980.
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© 1986 Springer-Verlag
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Oharu, S. (1986). Semilinear evolution equations in Fréchet spaces. In: Favini, A., Obrecht, E. (eds) Differential Equations in Banach Spaces. Lecture Notes in Mathematics, vol 1223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099193
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DOI: https://doi.org/10.1007/BFb0099193
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