Application of Rothe's method to abstract parabolic equations

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1. E. Rothe, 10.1007/BF01782368, Math. Ann. 102 (1930), 650-670. (1930) MR1512599DOI10.1007/BF01782368
2. O. A. Ладыженская, Решение в целом первой краевой задачи для квазилинейных параболических уравнений, ДАН СССР 107 (1956), 636-639. (1956) Zbl0995.90522MR0078565
3. А. М. Илйин А. С. Калашников О. А. Олейник, Линейные уравнения второво порядка параболического типа, УНМ 17, vyp. 3 (1962), 3 - 146. (1962) Zbl1226.30001
4. K. Rektorys, On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables, Czech. Math. J. 21 (96) 1971, 318-339. (1971) Zbl0217.41601MR0298237
5. J. Kačur, Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order I, II, to appear in Czech. Math. J., MR0506431
6. F. E. Browder, Existence theorems for nonlinear partial differential equations, Global Analysis, Proc. Symp. Pure Math. Vol. 16, Amer. Math. Soc. (1970) 1 - 60. (1970) Zbl0211.17204MR0269962
7. H. Brézis, Opérateurs Maximaux Monotones, Mathematics Studies, North-Holland, 1973. (1973) 

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