Singularities of Solutions of Second-Order Quasilinear Equations

1. Auflage 1996
ISBN: 978-0-582-03539-3
Verlag: Chapman and Hall/CRC

Buch, Englisch, Band 353, 392 Seiten, Format (B × H): 162 mm x 248 mm, Gewicht: 689 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

This text examines the singularity problem for solutions of elliptic and parabolic quasilinear equations of second order.

Autoren/Hrsg.

Veron, Laurent

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

PART I - ELLIPTIC EQUATIONS - Chapter I: Serrin's theory of singularities: The linear equations, Removable singularities for quasilinear equations, The characterisation of isolated singularities; Chapter 2: Semilinear equations with superlinear absorption: Removable singularities, The isotropy theorems, The classification theorem, Anisotropic singularities, Asymptotic behaviour and the connexion problem; Chapter 3: Semilinear equations with superlinear source: The radial case - Emden-Fowler equations, The weakly superlinear case, The strongly superlinear case, The cirtical Sobolev exponent case; Chapter 4: Boundary singularities for semilinear equations: Removable singularities, The classification theorems; Chapter 5: Quasilinear equations with source or absorption: Removable singularities, Quasilinear equations with absorption, Quasilinear equations with sources. PART II - PARABOLIC EQUATIONS - Chapter 6: Singularities of parabolic equations: Removable singularities, Isolated singularities and isotropy results, The classification theorems; Chapter 7: Blow-up of parabolic equations: Local and global existence, Single point blow-up, More general blow-up.

Über Autor(innen)

Veron, Laurent