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.

Under the hood, mathematical problems called partial differential equations (PDEs) model these natural processes. Among the many PDEs used in physics and computer graphics, a class called second ...

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: ...

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 ...

Nonlinear partial differential equations; Boundary integral methods; Bio: David M. Ambrose works in mathematical analysis and scientific computing for nonlinear systems of partial differential ...

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.

Catalog : MATH.4450 Partial Differential Equations (Formerly 92.445) Catalog : MATH.4450 Partial Differential Equations (Formerly 92.445) Home Academic Catalog. ... Pre-Req: MATH 2340 Differential ...

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