Название: Blow-up Theories for Semilinear Parabolic Equations (Lecture Notes in Mathematics, Vol. 2018)
Автор: Bei Hu (Author)
Издательство: Springer
Год: April 6, 2011
Формат: pdf
Страниц: 127
Размер: 0,9 mb.
Язык: English
“The book approaches the blow-up theories for semilinear parabolic equations using maximum principles and a priori estimates. … this book is an excellent mathematical monograph and a valuable reference for researchers in the field of nonlinear partial differential equations. This book also clearly benefits instructors who need a solid and updated text for a topic course in partial differential equations. The author has produced a commendable work of scholarly achievement.” (Hongwei Chen, Mathematical Reviews, Issue 2012 i) There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.