紹介
Mathematicians have only recently begun to understand the local structure of solutions of degenerate and singular parabolic partial differential equations. The problem originated in the mid '60s with the work of DeGiorgi, Moser, Ladyzenskajia and Uraltzeva. This book will be an account of the developments in this field over the past five years. It evolved out of the 1990-Lipschitz Lectures given by Professor DiBenedetto at the Institut fur angewandte Mathematik of the University, Bonn.
目次
p?1 in ?T.- x6. Uniqueness for data inLloc1(RN).- x7. Solving the Cauchy problem.- x8. Bibliographical notes.- XII. Non-negative solutions in ?T. The case 1 The uniqueness theorem.- x6. An auxiliary proposition.- x7. Proof of the uniqueness theorem.- x8. Solving the Cauchy problem.- x9. Compactness in the space variables.- x10. Compactness in thetvariable.- x11. More on the time-compactness.- x12. The limiting process.- x13. Bounded solutions. A counterexample.- x14. Bibliographical notes.
