Geometrical Optics and Related Topics
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"Geometrical Optics and Related Topics" by Ferruccio Colombini, Nicolas Lerner is a mathematics book and learning resource focused on Light & Optics. Best for teachers, students, and readers looking for stronger mathematical understanding.
This volume contains 14 research papers, which cover various topics, including blowup questions for quasilinear equations in 2-D, uniqueness results for systems of conservation laws in 1-D, conservation effects for critical nonlinear wave equations, diffraction of nonlinear waves, propagation of singularities in scattering theory, and caustics for semilinear oscillations. Other topics linked to microlocal analysis which are discussed are Sobolev spaces in Weyl-Hormander calculus, local solvability for pseudodifferential equations, and hypoellipticity for highly degenerate operators. A result for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for the characteristic initial boundary value problem are also included. Most of the papers contain detailed proofs which are accessible to graduate students and active researchers in connected areas
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"Geometrical Optics and Related Topics" by Ferruccio Colombini, Nicolas Lerner is a mathematics book and learning resource focused on Light & Optics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Light & Optics
Author: Ferruccio Colombini, Nicolas Lerner
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
This volume contains 14 research papers, which cover various topics, including blowup questions for quasilinear equations in 2-D, uniqueness results for systems of conservation laws in 1-D, conservation effects for critical nonlinear wave equations, diffraction of nonlinear waves, propagation of singularities in scattering theory, and caustics for semilinear oscillations. Other topics linked to microlocal analysis which are discussed are Sobolev spaces in Weyl-Hormander calculus, local solvability for pseudodifferential equations, and hypoellipticity for highly degenerate operators. A result for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for the characteristic initial boundary value problem are also included. Most of the papers contain detailed proofs which are accessible to graduate students and active researchers in connected areas
| Author | Ferruccio Colombini, Nicolas Lerner |
| Publisher | Springer Science & Business Media |
| Published | 1997 |
| ISBN-13 | 9780817639587 |
| Binding | Hardcover |
| Pages | 404 |
| Language | English |
| Subjects | Mathematics |
| Topic | Light & Optics |
| Series | Progress in Nonlinear Differential Equations and Their Applications |
Format: Hardcover
Length: 404 pages
Language: English
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