Buch, Englisch, Band 1977, 256 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 950 g
Reihe: Lecture Notes in Mathematics
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007
Buch, Englisch, Band 1977, 256 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 950 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-642-01673-8
Verlag: Springer
This volume contains the notes of the lectures delivered at the CIME course GeometricAnalysis andPDEsduringtheweekofJune11–162007inCetraro (Cosenza). The school consisted in six courses held by M. Gursky (PDEs in Conformal Geometry), E. Lanconelli (Heat kernels in sub-Riemannian s- tings),A. Malchiodi(Concentration of solutions for some singularly perturbed Neumann problems), G. Tarantello (On some elliptic problems in the study of selfdual Chern-Simons vortices), X. J. Wang (Thek-Hessian Equation)and P. Yang (Minimal Surfaces in CR Geometry). Geometric PDEs are a ?eld of research which is currently very active, as it makes it possible to treat classical problems in geometry and has had a dramatic impact on the comprehension of three- and four-dimensional ma- folds in the last several years. On one hand the geometric structure of these PDEs might cause general di?culties due to the presence of some invariance (translations, dilations, choice of gauge, etc. ), which results in a lack of c- pactness of the functional embeddings for the spaces of functions associated with the problems. On the other hand, a geometric intuition or result might contribute enormously to the search for natural quantities to keep track of, andtoproveregularityoraprioriestimatesonsolutions. Thistwo-foldaspect of the study makes it both challenging and complex, and requires the use of severalre?nedtechniquestoovercomethemajordi?cultiesencountered.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
PDEs in Conformal Geometry.- Heat Kernels in Sub-Riemannian Settings.- Concentration of Solutions for Some Singularly Perturbed Neumann Problems.- On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices.- The k-Hessian Equation.- Minimal Surfaces in CR Geometry.
