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Existenz und Regularität von Lösungen semilinearer parabolischer Anfangs-Randwertprobleme

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Literatur

  1. Agmon, S.: On the Eigenfunctions and on the Eigenvalues of General Elliptic Boundary Value Problems. Commun. pure appl. Math.15, 119–147 (1962)

    Google Scholar 

  2. Agmon, S., Douglis, A., Nirenberg, L.: Estimates Near the Boundary for Solutions of Elliptic Partial Differential Equations Satisfying General Boundary Conditions. I. Commun. pure appl. Math.12, 623–727 (1959)

    Google Scholar 

  3. Browder, F. E.: On the spectral theory of elliptic differential operators. I. Math. Ann.142, 22–130 (1961)

    Google Scholar 

  4. Berens, H., Butzer, P.L., Westphal U.: Representation of Fractional Powers of Infinitesimal Generators of Semigroups, Bull. Amer. math. Soc.74, 191–196 (1968)

    Google Scholar 

  5. Butzer, P.L., Berens, H.: Semi-Groups of Operators and Approximation. Berlin-Heidelberg-New York: springer 1967

    Google Scholar 

  6. Friedman, A.: Partial Differential Equations. New York: Holt, Rinehart and Winston 1969

    Google Scholar 

  7. Kielhöfer, H.: Halbgruppen und semilineare Anfangs-Randwertprobleme. Manuscripta math.12, 121–152 (1974)

    Google Scholar 

  8. Ladyženskaja, O. A., Solonnikov, V. A., Ural'ceva, N.N.: Linear and Quasilinear Equations of Parabolic Type. AMS Transl. of Math. Monographs, Vol.23, Providence: American Mathematical Society 1968

    Google Scholar 

  9. Lions, J.L., Magenes, E.: Problèmes aux limites non homogènes et applications, Vol. 1. Paris: Dunod 1968

    Google Scholar 

  10. Lions, J.L., Magenes, E.: Problemi ai limiti non omogenei (III). Ann. Scuola norm. sup. Pisa, Sci. fis. mat. III. Ser.15, 41–103 (1961)

    Google Scholar 

  11. Lions, J.L., Magenes, E.: Problèmes aux limites non homogènes (IV). Ann. Scuola norm. sup. Pisa, Sci. fis. mat., III. Ser.15, 311–326 (1961)

    Google Scholar 

  12. Lions, J.L., Magenes, E.: Problemi ai limiti non omogenei (V). Ann. Scuola norm. sup. Pisa, Sci. fis. mat., III. Ser.16, 1–44 (1962)

    Google Scholar 

  13. Peetre, J.: Espaces d'interpolation et théorème de Soboleff. Ann. Inst. Fourier16, 1, 279-317 (1966)

    Google Scholar 

  14. Sobolevskii, P.E.: Equations of Parabolic Type in Banach Space. Amer. math. Soc., Translat., II. Ser.49, 1–62 (1966)

    Google Scholar 

  15. Treibel, H.: A remark on embedding theorems for Banach spaces of distributions. Ark. Mat.11, 65–74 (1973)

    Google Scholar 

  16. Von Wahl, W.: Gebrochene Potenzen eines elliptischen Operators und parabolische Differentialgleichungen in Räumen hölderstetiger Funktionen. Nachr. Akad. Wissenschaften Göttingen, II. math.-phys. Kl.,11, 231–258 (1972)

    Google Scholar 

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Kielhöfer, H. Existenz und Regularität von Lösungen semilinearer parabolischer Anfangs-Randwertprobleme. Math Z 142, 131–160 (1975). https://doi.org/10.1007/BF01214945

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  • DOI: https://doi.org/10.1007/BF01214945

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