Foundations Of Global Nonlinear Analysis

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A primer of nonlinear analysis

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Submission history

Mathematica Eterna. Mathematical Communications. Mathematical Notes. Mathematical Sciences. Mathematics in Science and Engineering.

Sundaresan : Geometry and nonlinear analysis in Banach spaces.

Mathematics of Quantum and Nano Technologies. Mathematische Semesterberichte. Matrix Science Mathematic. Mediterranean Journal of Mathematics. Memetic Computing. Mendel : Soft Computing Journal. Metals and Materials International. Milan Journal of Mathematics.

Foundations of global nonlinear analysis (Teubner-Texte zur Mathematik)

Mitteilungen der DMV. Monatshefte fur Mathematik. Moscow University Mathematics Bulletin. Nagoya Mathematical Journal.

Natural Resource Modeling. New Mathematics and Natural Computation.

Nonlinear Analysis: Hybrid Systems. Nonlinear Engineering. The main tool is solving the linear equation, such as the Poisson equation and Poincare-Lelong equation, and the nonlinear equations such as the Kaehle-Ricci flow. The goal is to understand the space of holomorphic functions plurisubharmonic functions , the interplay between the geometry and the function theory and applying the results to the uniformization of complete Kaehler manifolds with nonnegative curvature.

The manifold is the space where every physical event happens. The global analysis on manifolds studies the overall properties of the manifolds by piecing together the local information.

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  • NSF Award Search: Award# - Linear and Nonlinear Analysis on Complete Kahler Manifolds.
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Kaehler manifolds are the basic block in the universe model according to the string theory. The proposed study has close connection with the theory of general relativity and string theory. The nonlinear differential equations studied in the proposal have applications in the study of the structure of complicated molecules, liquid-gas boundary, and even the large scale networks.

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