Nonlinear partial differential equations (PDEs) are mathematical models that describe various phenomena in physics, engineering, and other fields. These equations can exhibit complex behaviors ...

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 ...

This book serves as a bridge between graduate textbooks and research articles in the area of nonlinear elliptic partial differential equations. Whereas graduate textbooks present basic concepts, the ...

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.

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: ...

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

His specialty was nonlinear partial differential equations, which arise in geometry and other areas of mathematics and are essential to the modelling of motion and change in a number of real-world ...