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2012, ISBN: 9789400995062
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ISBN: 9789400995062
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ISBN: 9789400995062
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ISBN: 9789400995062
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Bibliografische gegevens van het best passende boek
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Gedetalleerde informatie over het boek. - Hyperbolic Differential Polynomials
EAN (ISBN-13): 9789400995062
Verschijningsjaar: 2012
Uitgever: Springer Netherlands
Boek bevindt zich in het datenbestand sinds 2016-03-29T14:22:09+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2023-04-17T15:15:43+02:00 (Amsterdam)
ISBN/EAN: 9789400995062
ISBN - alternatieve schrijfwijzen:
978-94-009-9506-2
alternatieve schrijfwijzen en verwante zoekwoorden:
Titel van het boek: singular perturbations
Gegevens van de uitgever
Auteur: J. Chaillou
Titel: Mathematics and Its Applications; Hyperbolic Differential Polynomials - and their Singular Perturbations
Uitgeverij: Springer; Springer Netherland
168 Bladzijden
Verschijningsjaar: 2012-12-06
Dordrecht; NL
Taal: Engels
Not available, publisher indicates OP
XV, 168 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Mathematische Analysis, allgemein; distribution; filtering; measure; measure theory; transform theory; B; Analysis; Mathematics and Statistics; BC
I. Generalities.- I.1. Emission Cones.- I.2. The Topological Algebra D?(?).- I.3. The Set U(?) of Polynomial Distributions with Inverse in D?(?).- I.4. Bounded Subsets of U(?) with Bounded Inverse.- I.5. First Consequences of U being Invertible in D?(?)with Bounded Inverse.- 1.6. Remarks.- II. The Semi-algebraic Case. Criterion forUto be Invertible with Bounded Inverse.- II.1. Semi-algebraic Subsets of ?n.- II.2. Polynomial Mappings of ?n into ?m. Theorem of Seidenberg.- II.3. Asymptotic Behavior of Semi-algebraic Subsets of ?2.- II.4. If U is Invertible with Bounded Inverse, then the Union of the V(a) can be Localized.- II.5. Hyperbolicity of A or of $$ \\bigcup\\limits_{a \\in A} {V\\left( a \\right)} $$ the V(a). Criterion for U to be Invertible with Bounded Inverse.- II.6. Differential Polynomials that are a Polynomial Function of a Parameter (? ? ?p).- III. A Sufficient Condition thatUis Invertible with Bounded Inverse. The Cauchy Problem in Hsloc.- III.1. Upper Bounds for |a(?)|?1.- III.2. Laplace Transforms and Supports of Distributions.- III.3. A Sufficient Condition that U is Invertible with Bounded Inverse.- III.4. The Cauchy Problem with Data in Hsloc.- IV. Hyperbolic Hypersurfaces and Polynomials.- IV.0. Preliminary Notations and Definitions.- IV.1. First Properties of 0?-Hyperbolic V(a).- IV.2. First Properties of 0?-Hyperbolic Cones V(am).- IV.3. 0?-Hyperbolicity and ?-Hyperbolicity.- IV.4. Polars with respect to ? ? 0? of 0?-Hyperbolic V(a).- IV.5. Successive Multiplicities of a Series in ?[[X]] with respect to a Polynomial with Roots in ?[[X]]..- IV.6. Relations between V(am?k) and V(am) that follow from Hyperbolicity of V(a).- IV.7. Relations between V(am?k) and the Polars of V(am) Implied by Hyperbolicity of V(a).- IV.8. Functions Rm?k, ? on V(am(k), ?) ? ?n. A Sufficient Condition that V(a) is Hyperbolic.- IV.9. Local Properties of the Functions Rm?k, ?.- IV.10. Real Ordered Sheets of Hyperbolic Cones.- IV.11. Locally Constant Multiplicity on V(am)* ??n. A Hyperbolicity Criterion for V(a).- IV.12. n = 3. A Criterion for Hyperbolicity.- IV.13. Hyperbolicity and Strength of Polynomials.- IV.14. The Cauchy Problem.- V. Examples.- V.1. Sets of Homogeneous Polynomials of the Same Degree.- V.2. Sets of Polynomials of the Same Degree.- V.3. Lowering the Degree by One.- V.4. Lowering the Degree by Two.- V.5. An Example with Arbitrary Lowering of Degree.- V.6. Conclusion.- Appendix 1. On a Conjecture of Lars Gårding and Lars Hörmander.- Appendix 2. A Necessary and Sufficient Condition For Hyperbolicity.- Name Index.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
Laatste soortgelijke boek:
9789400995086 Hyperbolic Differential Polynomials (Chaillou, J.)
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