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Linear and Semilinear Parabolic Equations on BUC(ℝ N )

1996; Wiley; Volume: 179; Issue: 1 Linguagem: Inglês

10.1002/mana.19961790108

1522-2616

Matthias Hieber, Pablo Koch‐Medina, Sandro Merino,

Advanced Mathematical Physics Problems

Mathematische NachrichtenVolume 179, Issue 1 p. 107-118 Article Linear and Semilinear Parabolic Equations on BUC(ℝN) Matthias Hieber, Matthias Hieber Mathematisches Institut Universität Zürich Winterthurerstr. 190 C- 8057 Zurich SwitzerlandSearch for more papers by this authorPablo Koch - Medina, Pablo Koch - Medina Winterthur Life Paulstr. 9 CH-8401 Winterthur SwitzerlandSearch for more papers by this authorSandro Merino, Sandro Merino ETH Zürich Seminar Angewandte Mathematik Fliederstr. 23 CH-8092 SwitzerlandSearch for more papers by this author Matthias Hieber, Matthias Hieber Mathematisches Institut Universität Zürich Winterthurerstr. 190 C- 8057 Zurich SwitzerlandSearch for more papers by this authorPablo Koch - Medina, Pablo Koch - Medina Winterthur Life Paulstr. 9 CH-8401 Winterthur SwitzerlandSearch for more papers by this authorSandro Merino, Sandro Merino ETH Zürich Seminar Angewandte Mathematik Fliederstr. 23 CH-8092 SwitzerlandSearch for more papers by this author First published: 1996 https://doi.org/10.1002/mana.19961790108Citations: 8AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References Am Amann, H.: Linear and Quasilinear Parabolic Problems. Birkhäuser Verlag, (1995) A-B Arendt, W. and Batty, C. J. K.: Exponential Stability of a Diffusion Equation with Absorption. Differential Integral Equations 6 (1993), 1009–1024 Ar Aronson, D. G.: Non-Negative Solutions of Linear Parabolic Equations. Ann. Sci. Norm. Sup. Pisa (3) 22 (1968), 607–694 D-K1 Daners, D. and Koch Medina, P.: Abstract Evolution Equations, Periodic Problems and Applications. Pitman Research Notes in Mathematics 279, Longman, Harlow, Essex, 1992 D-K2 Daners, D., and KocH Medina, P.: Exponential Stability, Change of Stability and Eigenvalue Problems for Linear Time Periodic Parabolic Equations on IR N. Differential Integral Equations 7 (1994), 1265–1284 E-P Eidelman, S. D. and Porper, F. O.: Two Sided Estimates of Fundamental Solutions of Second Order Parabolic Equations and Applications. Russian Math. Surveys 39(3) (1964), 119–178 F Friedman, A.: Partial Differential Equations of Parabolic Type. Prentice Hall, New Jersey, 1964 H-K-M Hieder, M., Koch - Medina, P., and Merino, S.: Diffusive Logistic Growth on IRN. Nonl. Analysis, (to appear) I-K-O Il'in, A. M., Kalashnikov, A. S., and Oleinik, O. A.: Linear Equations of the Second Order of Parabolic Type. Uspekhi Mat. Nauk. 17(3) (1962), 3–147; Russian Math. Surveys 17(3) (1962), 1–143 L-S-U Layzenskaya, O. A., Solonnikov, V. A. and Ural'ceva, N. N.: Linear and Quasilinear Equations of Parabolic Type. Amer. Math. Soc, Providence, Rhode Island, 1968 Lu1 Lunardi, A.: Interpolation Spaces between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications Tonohlinear Parabolic Equations. Math. Nachr. 121 (1985), 299–318 Lu2 Lunardi, A.: Analytic Semigroups and Optimal Regularity in Parabolic Equations. Birkhauser Verlag (1995) N R. Nagel (ed.): One-Parameter Semigroups of Positive Operators. Springer Lecture Notes in Math., Berlin, 1184, 1986 Pa Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer, New York, 1983. Pr Prüss, J.: Evolutionary Integral Equations and Applications. Birkhäuser Verlag, Basel, 1993 St Stewart, H. B.: Generation of Analytic Semigroups by strongly Elliptic Operators. Trans. Amer. Math. Soc. 199 (1974), 141–162 Citing Literature Volume179, Issue11996Pages 107-118 ReferencesRelatedInformation