The graph below shows the total number of publications each year in Complex Geometry and Nonlinear Partial Differential Equations. References [1] The Fu–Yau equation with negative slope parameter.

Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications.

We consider a specific type of nonlinear partial differential equation (PDE) that appears in mathematical finance as the result of solving some optimization problems. We review some examples of such ...

Partial Differential Equations. An Introduction. Second Edition. John Wiley, 2008. Lecture notes will be provided. Assessment. Exam (100%, duration: 2 hours) in the summer exam period. Key facts.

The focus will be on first order quasilinear equations, and second order linear equations. The method of characteristics for solving first order quasilinear equations will be discussed. The three main ...

Applied mathematics, nonlinear waves, solitons, integrable systems, inverse problems, applied probability, stochastic processes, optics. The study of physical phenomena by means of mathematical models ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...

The members of the group Geometric Analysis and Partial Differential Equations have broad interests in analysis and geometry. Active research topics include quasiconformal analysis and partial ...

Based at the University of Texas at Austin, Caffarelli started work on partial differential equations (PDEs) in the late 1970s and has contributed to hundreds of papers since.

Partial differential equations . Latest Articles. A New Proof Smooths Out the Math of Melting. geometry. A New Proof Smooths Out the Math of Melting . By Steve Nadis. March 31, 2025. Read Later. A ...