2nd Order Parabolic Differential Equations

Lecture: Mi. 8:30-10:00 in B6-A101, Fr. 8:30-10:00 in A5-C015

Tutorial: Fr. 10:15-11:45 in A5-C014

Description: Second order parabolic differential equations are basic models in biomath, physics and finantial math. In this course, we will introduce useful inequalities, basic techiniques and Sobolev spaces at first. L^2 theory of linear equations and the unique existence of classical solution will be studied. Also, De Giorgi interation and Moser interation and fix point theory will be discussed. 

Language: English

References: 

  • Z. Wu, J. Yin and C. Wang, Elliptic and parabolic equations.
  • L. Evans, Weak convergence methods for nonlinear partial differential equations.
  • G. M. Lieberman, Second order parabolic differential equations
  • A. Friedman, Partial Differential Equations of parabolic type.
  • R. A. Adams, Sobolev spaces.