Nonlinear Elliptic and Parabolic Equations of the Second Order (Mathematics and its Applications) - gebonden uitgave, pocketboek
1987, ISBN: 9027722897
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Nonlinear Elliptic and Parabolic Equations of the Second Order (Mathematics and its Applications) - gebonden uitgave, pocketboek
1987, ISBN: 9027722897
[EAN: 9789027722898], Gebraucht, guter Zustand, [PU: Springer], A+ Customer service! Satisfaction Guaranteed! Book is in Used-Good condition. Pages and cover are clean and intact. Used it… Meer...
Krylov, N. V.:
Nonlinear Elliptic and Parabolic Equations of the Second Order - gebonden uitgave, pocketboek1987, ISBN: 9027722897
[EAN: 9789027722898], Gebraucht, guter Zustand, [PU: Springer], Former library book; may include library markings. Used book that is in clean, average condition without any missing pages.… Meer...
ISBN: 9789027722898
Springer. Used - Good. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages., Springer, 2.5
1987, ISBN: 9789027722898
Hardcover book. 480 pages. Published by Springer (1987) Media > Book
Bibliografische gegevens van het best passende boek
Gedetalleerde informatie over het boek. - Nonlinear Elliptic and Parabolic Equations of the Second Order (Mathematics and its Applications)
EAN (ISBN-13): 9789027722898
ISBN (ISBN-10): 9027722897
Gebonden uitgave
Verschijningsjaar: 1987
Uitgever: Springer
480 Bladzijden
Gewicht: 0,877 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2007-04-10T20:52:42+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2023-05-26T15:14:32+02:00 (Amsterdam)
ISBN/EAN: 9027722897
ISBN - alternatieve schrijfwijzen:
90-277-2289-7, 978-90-277-2289-8
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: nikolai krylov
Titel van het boek: order, nonlinear parabolic and elliptic equations
Gegevens van de uitgever
Auteur: N.V. Krylov
Titel: Mathematics and its Applications; Nonlinear Elliptic and Parabolic Equations of the Second Order - Soviet Series
Uitgeverij: Springer; Springer Netherland
462 Bladzijden
Verschijningsjaar: 1987-06-30
Dordrecht; NL
Gewicht: 1,860 kg
Taal: Engels
117,69 € (DE)
120,99 € (AT)
121,00 CHF (CH)
Not available, publisher indicates OP
BB; Book; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; C; Analysis; Mathematics and Statistics; EA
1 / Auxiliary Notions.- 1.1. Domains and Functional Spaces of Smooth Functions.- 1.2. The Sobolev Spaces, Measures, and Lattices.- 1.3. Conditional Existence Theorems for the Solution of a Nonlinear Equation.- 1.4. Comments.- 2 / Nonlinear Equations with Constant ‘Coefficients’ in the Whole Space.- 2.1. Constructing the Resolvent.- 2.2. The Existence Theorem for the Solution and the Estimates of its Derivatives.- 2.3. Comments.- 3 / A Priori Estimates in Lp for Solutions of Nonlinear Elliptic and Parabolic Equations.- 3.1. Some Properties of ?-Concave Functions.- 3.2. Estimation of Solutions of Special Nonlinear Equations.- 3.3. The Aleksandrov Estimate.- 3.4. The Maximum Principle and the Uniqueness of a Solution in the Sobolev Class.- 3.5. Passage to the Limit for Nonlinear Operators in the Sobolev Class.- 3.6. Passage to the Limit for Nonlinear Operators in Classes of Convex Functions.- 3.7. The Uniqueness of a Solution and the Comparison Theorems for Nonlinear Operators in the Class of Convex Functions.- 3.8. Comments.- 4 / A Priori Estimates in C? for Solutions of Linear and Nonlinear Equations.- 4.1. Research into Properties of Two Special Functions.- 4.2. The Harnack Inequality and the Hölder Condition for Solutions of Linear Equations with Measurable Coefficients.- 4.3. The Hölder Condition for Solutions of Simultaneous Linear Inequalities.- 4.4. The Holder Condition for Solutions of Elliptic and Parabolic Equations near the Boundary.- 4.5. The Hölder Condition for Solutions of Simultaneous Linear Inequalities near the Boundary and Estimation of their Normal Derivatives.- 4.6. The Hölder Condition for Solutions of Some Degenerate Linear Equations on the Boundary.- 4.7 Comments.- 5 / A Priori Estimates in C2+? for Solutions of Nonlinear Equations.- 5.1. The Boundedness of and the Hölder Condition for the Derivatives of Solutions on the Boundary.- 5.2. The Estimates of the First Derivative with Respect to X.- 5.3. The Estimates of the Derivative with Respect to t.- 5.4. Estimation of the Solution in the Norms of C2 and $$ W_2^{1,2} $$.- 5.5. The Estimates of u in the Norm of C2+?.- 5.6. Discussion of the First-Order Matching Conditions.- 5.7. Comments.- 6 / Existence Theorems for Solutions of Nondegenerate Equations.- 6.1. The Class F?, the Uniqueness of a Solution, and the Estimate of |u|.- 6.2. The Existence of a Solution for F ? F. The First Boundary Value Problem.- 6.3. The Existence of a Solution for F ? F in a Nonsmooth Domain and Cauchy’s Problem.- 6.4. The Existence of a Solution for F?. Examples.- 6.5. The Existence of a Solution for F ? F?0.- 6.6. Comments.- 7 / Degenerate Nonlinear Equations in the Whole Space.- 7.1. Permutations of a Differential Operator with an Elliptic Operator.- 7.2. A Priori Estimates of the First and the Second Derivatives.- 7.3. The Existence of a Solution in the Class of Concave Functions.- 7.4. The Existence of a Solution in the Class of Concave Functions for the Normalized Bellman Equation.- 7.5. An Example of a One-Dimensional Degenerate Equation.- 7.6. Comments.- 8 / Degenerate Nonlinear Equations in a Domain.- 8.1. Equations with Constant ‘Coefficients’ in a Ball and a Circular Cylinder.- 8.2. Examples of Equations with Monge-Ampère Operators, and Other Examples.- 8.3. Interrelation Between the Equation in a Domain of a Euclidean Space and the Equation on a Manifold.- 8.4. Permutation of a Differential Operator with an Elliptic Operator on a Manifold.- 8.5. The Estimates of the Derivatives of a Solution to a Nonlinear Equation on a Manifold.- 8.6. The Estimates of the Second Mixed Derivatives on the Boundary of a Domain.- 8.7. The Solvability of Equations Weakly Nondegenerate Along the Normal.- 8.8. The Solvability of Degenerate Equations in a Domain.- 8.9. Comments.- Appendix 1 / Proof of Lemma 4.1.6.- Appendix 2 / Aleksandrov-Busemann-Feller Theorem.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
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