Blow-up Theories for Semilinear Parabolic Equations

• Κύριος συγγραφέας: Hu, Bei (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Lecture Notes in Mathematics, 2018
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Partial Differential Equations.; Applications of Mathematics.; Analysis.

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 me...

Πίνακας περιεχομένων:

• 1 Introduction
• 2 A review of elliptic theories
• 3 A review of parabolic theories
• 4 A review of fixed point theorems.-5 Finite time Blow-up for evolution equations
• 6 Steady-State solutions
• 7 Blow-up rate
• 8 Asymptotically self-similar blow-up solutions
• 9 One space variable case.