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Nonlinear Evolution Equations and Potential Theory pp 89–93Cite as

Application of Rothe’s Method to Nonlinear Parabolic Boundary Value Problems

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Abstract

We shall consider nonlinear parabolic boundary value problems of the form

$$\zeta {\rm \frac{{du(t)}}{{dt}} + A(t)u(t) = f(t);\,0 \leqslant t \leqslant T;\,u(0)\, = u_o}, $$
((1))

, where A(t), t ∈ 〈O, T〉 is a system of nonlinear operators.

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References

  1. J. Kačur, Method of Rothe and nonlinear parabolic equations of arbitrary order. I and II, Czech, Mat. J., to appear

    Google Scholar 

  2. J. Nečas, Application of Rothe’s method to abstract parabolic equations, Czech. Math. Journal (to appear)

    Google Scholar 

  3. J. Kačur, Application of Rothe’s method to nonlinear evolution equations. Mat. Časopis Sloven, Akad. Vied, to appear

    Google Scholar 

  4. Google Scholar 

  5. E. Rothe, Zweidimensionale parabolishe Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben, Math, Ann. 102, 1930

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  6. Google Scholar 

  7. Google Scholar 

  8. Google Scholar 

  9. K. Rektorys, On application of direct variational methods to the solution of parabolic boundaiy value problems of arbitrary order in the space variables. Czech. Math. J. 21 (96) 1971, 318–339

    MathSciNet  Google Scholar 

  10. F.E. Browder, Existence theorems for nonlinear partial differential equations, Global Analysis, Proc. Symp. Pure Math., Vol. 16, Amer. Math. Soc. 1970, 1–60

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  11. H. Brezis, Opérateurs Maximaux Monotones, Mathematics Studies, North-Holland, 1973

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Prírodovedeckâ fakulta UK, Mlynská dolina, 81600, Bratislava 16, Czechoslovakia

    Jozef Kačur

Authors
  1. Jozef Kačur
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Editor information

Editors and Affiliations

  1. Mathematical Institute of the Czechoslovak Academy of Sciences, Prague, Czechoslovakia

    Josef Král

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© 1975 Academia, Publishing House of the Czechoslovak Academy of Sciences

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Kačur, J. (1975). Application of Rothe’s Method to Nonlinear Parabolic Boundary Value Problems. In: Král, J. (eds) Nonlinear Evolution Equations and Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4425-4_6

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  • DOI: https://doi.org/10.1007/978-1-4613-4425-4_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4427-8

  • Online ISBN: 978-1-4613-4425-4

  • eBook Packages: Springer Book Archive

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