| Description |
1 online resource (xiii, 278 pages) |
| Series |
Springer monographs in mathematics, 1439-7382 |
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Springer monographs in mathematics.
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| Contents |
880-01 Introduction -- Preliminaries -- Degenerate and singular parabolic equations -- Expansion of positivity -- The Harnack inequality for degenerate equations -- The Harnack inequality for singular equations -- Homogeneous monotone singular equations |
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880-01/(S Contents note continued: B.13. Induction Argument Concluded-(ii) -- B.14. Remarks and Bibliographical Notes -- C.1. More General Structures -- C.2. Energy Estimates for (u-k)± on Cylinders (y, s)+Q±p(9)Subset of ET -- C.3. DeGiorgi-Type Lemmas -- C.3.1. Variant of DeGiorgi-Type Lemma, Involving "Initial Data" -- C.3.2. Technical Lemma -- C.4. Expansion of Positivity for Nonnegative Solutions to (C.1.1)-(C.1.4) -- C.5. Equations of Porous Medium Type -- C.6. Energy Estimates for (u-k)± on Cylinders (y, s)+Q±p(θ)Subset of ET -- C.7. DeGiorgi-Type Lemmas -- C.7.1. Variant of DeGiorgi-Type Lemma, Involving "Initial Data" -- C.8. Expansion of Positivity for Solutions to (C.5.1)-(C.5.3) -- C.9. Remarks and Bibliographical Notes |
| Summary |
Annotation The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p 2 or m 1) and in the singular range (1(p(2 or 0(m(1), starting from the notion of solution and building all the necessary technical tools |
| Analysis |
Global analysis (Mathematics) |
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Differential equations, partial |
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Functions, special |
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Partial Differential Equations |
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Analysis |
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Special Functions |
| Bibliography |
Includes bibliographical references (pages 269-276) and index |
| Notes |
English |
| Subject |
Differential equations, Parabolic.
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Inequalities (Mathematics)
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Mathematics.
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Mathematics
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Mathematics
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Differential equations, Parabolic
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Inequalities (Mathematics)
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| Form |
Electronic book
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| Author |
Gianazza, Ugo.
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Vespri, Vincenzo.
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| ISBN |
9781461415848 |
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1461415845 |
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