Nonlinear Functional Analysis with Applications to Combustion Theory

Preface.- Introduction and Main Results.- Part I. A Short Course in Nonlinear Functional Analysis.- Elements of Degree Theory.- Theory of Positive Mappings in Ordered Banach Spaces.- Elements of Bifurcation Theory.- Part II. Introduction to Semilinear Elliptic Problems via Semenov Approximation.- Elements of Functions Spaces.- Semilinear Hypoelliptic Robin Problems via Semenov Approximation.- Spectral Analysis of the Closed Realization A.- Local Bifurcation Theorem for Problem (6.4).- Fixed Point Theorems in Ordered Banach Spaces.- The Super-subsolution Method.- Sublinear Hypoelliptic Robin Problems.- Part III. A Combustion Problem with General Arrhenius Equations and Newtonian Cooling.- Proof of Theorem 1.5 (Existence and Uniqueness).- Proof of Theorem 1.7 (Multiplicity).- Proof of Theorem 1.9 (Unique solvability for λ sufficiently small).- Proof of Theorem 1.10 (Unique solvability for λ sufficiently large).- Proof of Theorem 1.11 (Asymptotics).- Part IV. Summary and Discussion.- Open Problems in Numerical Analysis.- Concluding Remarks.- Part V Appendix.- A The Maximum Principle for Second Order Elliptic Operators.- Bibliography.- Index.

• Erscheinungsdatum: 14.05.2025
• Autor/Autorin: Kazuaki Taira
• Reihe: Mathematics and Statistics (R0)
• Format: E-Book
• Dateiformat: PDF
• Kopierschutz: Wasserzeichen
• Dateigröße: 7.7 MB
• Verlag: SPRINGER
• Sprache: Englisch
• Umfang: 269 Seiten
• ISBN: 9783031857577
• Lieferung: Sofort per Download
• Hinweis: Sofort per Download lieferbar. Kein physischer Versand.
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