Geodesic
Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order
Czechoslovak Mathematical Journal, Tome 28 (1978) no. 4, pp. 507-524
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DOI : 10.21136/CMJ.1978.101559
Classification : 34G20, 35K30, 65M20 
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Kačur, Jozef. Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order. Czechoslovak Mathematical Journal, Tome 28 (1978) no. 4, pp. 507-524. doi: 10.21136/CMJ.1978.101559

[1] J. Kačur: On existence of the weak solution for non-linear partial differential equations of elliptic type. I. Comment. Math. Univ. Carolinae, 11, 1 (1970), 137-181. | MR

[2] J. Kačur: On existence of the weak solution for non-linear partial differential equations of elliptic type. II. Comment. Math. Univ. Carolinae, 13, 2 (1972), 211 - 225. | MR

[3] 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. Journal, 27 (96), (1971), 318-339. | MR | Zbl

[4] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Prague, 1967. | MR

[5] J. Nečas: Les équations elliptiques non linéaires. L'école d'été, Tchécoslovaquie, 1967. Czech. Math. Journal 2 (1969), 252-274. | MR

[6] E. Rothe: Zweidimensionale parabolische Randweraufgaben. Math. ann. 102 (1930). | DOI

[7] T. Д. Вентцель: Перваяа краевая задача для квазилинейново уравнения со многими пространственными переменными. Матем. сб. 41 (83), (1957), 499-520. | MR | Zbl

[8] О. А. Ладыженская: Решение в целом первой краевой задачи для квазилинейных параболических уравнений. ДАН СССР 107, (1965), 636-639. | Zbl

[9] А. М. Ильин А. С. Калашников О. А. Олейник: Линейные уравнения второго порядка параболического типа. УМН 17, вьш. 3, (1962), 3-146. | Zbl

[10] П. П. Мосолов: Вариационные методы в нестационарных задачах. (Параболический случай.) Изв. АН СССР, 34 (1970), 425-457. | MR | Zbl

[11] G. J. Мintу: On а ''monotonicity" method for the solution of nonlinear equation in Banach spaces. Proc. N.A.S. USA 50 (1963), 1038--1041. | MR

[12] F. E. Browder: Nonlinear elliptic boundary value problems. Bull. Amer, Math. Soc. 69, N. 6 (1963), 862-874. | MR | Zbl

[13] F. E. Browder: Strongly nonlinear parabolic boundary value problems. Amer. Journ. of Math. 86, 2 (1964).

[14] M. A. Красносельский Я. Б. Рутицкий: Выпуклые функции и пространства Орлича Москва. 1958.

[15] K. Yosida: Functional analysis. Springer-Verlag, 1965. | Zbl

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