Hyperbolic Partial Differential Equations

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9780821835760: Hyperbolic Partial Differential Equations

The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a second-year graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the Lax-Phillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens' principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses. Information for our distributors: Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

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1.

Peter D. Lax
Editore: American Mathematical Society/Courant Institute of Mathematical Sciences (2006)
ISBN 10: 0821835769 ISBN 13: 9780821835760
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Sequitur Books
(Boonsboro, MD, U.S.A.)
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Descrizione libro American Mathematical Society/Courant Institute of Mathematical Sciences, 2006. Paperback. Condizione libro: New. Brand new. We distribute directly for the publisher. Peter D. Lax is the winner of the 2005 Abel PrizeThe theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a second-year graduate course on the subject.The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves.The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the Lax-Phillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today.Four brief appendices sketch topics that are important or amusing, such as Huygens' principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses. Codice libro della libreria 1007090075

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Lax, Peter D.
ISBN 10: 0821835769 ISBN 13: 9780821835760
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218357600000000

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Peter D. Lax
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ISBN 10: 0821835769 ISBN 13: 9780821835760
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Descrizione libro American Mathematical Society, United States, 2006. Paperback. Condizione libro: New. 254 x 178 mm. Language: English . Brand New Book. The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a second-year graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the Lax-Phillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses. Information for our distributors: Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University. Codice libro della libreria AAN9780821835760

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Peter D. Lax
Editore: American Mathematical Society, United States (2006)
ISBN 10: 0821835769 ISBN 13: 9780821835760
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Descrizione libro American Mathematical Society, United States, 2006. Paperback. Condizione libro: New. 254 x 178 mm. Language: English . Brand New Book. The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a second-year graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the Lax-Phillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses. Information for our distributors: Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University. Codice libro della libreria AAN9780821835760

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Peter D. Lax
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ISBN 10: 0821835769 ISBN 13: 9780821835760
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Descrizione libro American Mathematical Society. Paperback. Condizione libro: new. BRAND NEW, Hyperbolic Partial Differential Equations, Peter D. Lax, The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a second-year graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the Lax-Phillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens' principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses. Information for our distributors: Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University. Codice libro della libreria B9780821835760

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Peter D. Lax
Editore: American Mathematical Society/Courant Institute of Mathematical Sciences (2006)
ISBN 10: 0821835769 ISBN 13: 9780821835760
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Descrizione libro American Mathematical Society/Courant Institute of Mathematical Sciences, 2006. Paperback. Condizione libro: New. book. Codice libro della libreria 0821835769

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Peter D. Lax
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ISBN 10: 0821835769 ISBN 13: 9780821835760
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Descrizione libro American Mathematical Society/Courant Institute of Mathematical Sciences, 2006. Paperback. Condizione libro: New. Codice libro della libreria DADAX0821835769

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Lax, Peter D.
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ISBN 10: 0821835769 ISBN 13: 9780821835760
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Descrizione libro Amer Mathematical Society, 2006. Paperback. Condizione libro: Brand New. illustrated edition. 217 pages. 9.75x6.75x0.50 inches. In Stock. Codice libro della libreria __0821835769

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Descrizione libro 2006. Paperback. Condizione libro: New. 257mm x 182mm x. Paperback. The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and .Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 217 pages. 0.408. Codice libro della libreria 9780821835760

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Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97808218357601.0

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