This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.
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First Sentence:
Among the most beautiful problems of mathematics are those which we can visualise, where the solution contains the faith of our intuition, and yet where achieving this solution proves tantalisingly elusive. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
harmonic map flow, concurrent curves, local frame field, rectifiable currents, singularity models, bisectional curvature, harmonic maps, oriented intervals, second variation formula, global weak solution, standard bubble, invariant estimates, energy inequality, curvature bounded, harmonic mappings, geometric measure theory, simplicial complex, curvature flow, curvature form, scalar curvature, zero section Key Phrases - Capitalized Phrases (CAPs): (learn more)
Verlag Basel, Differential Geom, New York, London Math, Acta Math, Flat Complex, Lecture Notes, Scuola Norm, Diff Geom, Kähler Finsler, Kidder Finsler, Nonlinear Anal, Princeton University Press New!
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Among the most beautiful problems of mathematics are those which we can visualise, where the solution contains the faith of our intuition, and yet where achieving this solution proves tantalisingly elusive. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
harmonic map flow, concurrent curves, local frame field, rectifiable currents, singularity models, bisectional curvature, harmonic maps, oriented intervals, second variation formula, global weak solution, standard bubble, invariant estimates, energy inequality, curvature bounded, harmonic mappings, geometric measure theory, simplicial complex, curvature flow, curvature form, scalar curvature, zero section Key Phrases - Capitalized Phrases (CAPs): (learn more)
Verlag Basel, Differential Geom, New York, London Math, Acta Math, Flat Complex, Lecture Notes, Scuola Norm, Diff Geom, Kähler Finsler, Kidder Finsler, Nonlinear Anal, Princeton University Press New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 24
books:
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- Differential Equations (School Mathematics Project 16-19) by School Mathematics Project on page 95
- Implicit Partial Differential Equations (Progress in Nonlinear Differential Equations and Their Applications) by B. Dacorogna in Back Matter
- Spatial Patterns: Higher Order Models in Physics and Mechanics (Progress in Nonlinear Differential Equations and Their Applications) by L.A. Peletier in Back Matter
- Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, Vol 65) by Raymond O'Neil Wells on page 8
- Variational methods for discontinuous structures: Applications to image segmentation, continuum mechanics, homogenization : Villa Olmo, Como, 8-10 ... equations and their applications) in Back Matter
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