Research Topics in Analysis, Volume II by Shouchuan Hu
This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfields of this broad subject and introduces relevant frameworks for immediate deployment.
The applications list begins with Degree Theory, a useful tool for studying nonlinear equations. Chapter 2 deals with Fixed Point Theory, and Chapter 3 introduces Critical Point Theory. Chapter 4 presents the main spectral properties of linear, nonlinear, anisotropic, and double-phase differential operators. Chapter 5 covers semilinear and nonlinear elliptic equations with different boundary conditions, while Chapter 6 addresses dynamic systems monitored by ordinary and partial differential equations. Chapter 7 delves into optimal control problems, and Chapter 8 discusses some economic models, providing a brief presentation of Game Theory and Nash equilibrium.
By offering a clear and comprehensive overview of modern analysis tools and applications, this work can greatly benefit mature graduate students seeking research topics, as well as experienced researchers interested in this vast and rich field of mathematics.
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Algebra
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Unique Continuation Properties for Partial Differential Equations
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An Introduction to C*-Algebras and Noncommutative Geometry
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A Course on Holomorphic Discs
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Flows on Compact Surfaces
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Research Topics in Analysis, Volume I
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Excursions in Multiplicative Number Theory
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Configurations from a Graphical Viewpoint
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Methods of Nonlinear Analysis
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Introduction to the Qualitative Theory of Differential Systems
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Differential Equations on Measures and Functional Spaces
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Selected Topics in Mathematical Analysis
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Matrizen, Geometrie, Lineare Algebra
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Playing Around Resonance
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Superlinear Parabolic Problems
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Integration and Modern Analysis
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Holomorphic Curves and Global Questions in Contact Geometry
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The Navier-Stokes Equations
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Symplectic Invariants and Hamiltonian Dynamics
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A Guide to Spectral Theory
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Observation and Control for Operator Semigroups
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Real Analysis
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Elements of Nonlinear Analysis
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Integration - A Functional Approach
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The Geometry of Domains in Space
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â„“ Goes to Plus Infinity
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Mechanik 2
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Mechanik 1
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Topics in Hardy Classes and Univalent Functions
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Elliptic Equations: An Introductory Course
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Geometric Multivector Analysis
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A Primer of Real Analytic Functions
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Elements of Noncommutative Geometry
| SKU | Unavailable |
| ISBN 13 | 9783031641916 |
| ISBN 10 | 3031641914 |
| Title | Research Topics in Analysis, Volume II |
| Author | Shouchuan Hu |
| Series | Birkhauser Advanced Texts Basler Lehrbucher |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2025-08-27 |
| Number of pages | 725 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |