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Books on the topic 'Degenerate equation'

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Published: 9 March 2023

Last updated: 10 March 2023

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1

Wakako, Hideaki. Exact WKB analysis for the degenerate third Painleve equation of type (Ds). Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2007.

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2

Levendorskii, Serge. Degenerate Elliptic Equations. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-1215-6.

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3

DiBenedetto, Emmanuele. Degenerate Parabolic Equations. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-0895-2.

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4

Levendorskiĭ, Serge. Degenerate elliptic equations. Dordrecht: Kluwer, 1993.

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5

DiBenedetto, Emmanuele. Degenerate parabolic equations. New York: Springer-Verlag, 1993.

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6

Favini, Angelo, and Gabriela Marinoschi. Degenerate Nonlinear Diffusion Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28285-0.

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7

Favini, Angelo. Degenerate Nonlinear Diffusion Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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8

A, Dzhuraev. Degenerate and other problems. Harlow, Essex, England: Longman Scientific and Technical, 1992.

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9

Ahmed, Zeriahi, ed. Degenerate complex Monge--Ampère equations. Zürich, Switzerland: European Mathematical Society Publishing House, 2017.

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10

Favini, A. Degenerate differential equations in Banach spaces. New York: Marcel Dekker, 1999.

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11

-M, Ni W., Peletier L. A, and Vazquez J. L, eds. Degenerate diffusions. New York: Springer-Verlag, 1993.

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12

Bell, Denis R. Degenerate stochastic differential equations and hypoellipticity. New York: Longman, 1995.

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13

Bell, Denis R. Degenerate stochastic differential equations and hypoellipticity. Harlow, Essex: Longman, 1995.

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14

Fragnelli, Genni, and Dimitri Mugnai. Control of Degenerate and Singular Parabolic Equations. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69349-7.

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15

Tero, Kilpeläinen, and Martio O, eds. Nonlinear potential theory of degenerate elliptic equations. Oxford: Clarendon Press, 1993.

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16

DiBenedetto, Emmanuele, Ugo Gianazza, and Vincenzo Vespri. Harnack's Inequality for Degenerate and Singular Parabolic Equations. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-1584-8.

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17

Ugo, Gianazza, Vespri Vincenzo, and SpringerLink (Online service), eds. Harnack's Inequality for Degenerate and Singular Parabolic Equations. New York, NY: Springer Science+Business Media, LLC, 2012.

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18

Garrione, Maurizio, and Filippo Gazzola. Nonlinear Equations for Beams and Degenerate Plates with Piers. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30218-4.

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19

Sviridyuk, G. A. Linear Sobolev type equations and degenerate semigroups of operators. Utrecht: VSP, 2003.

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20

On first and second order planar elliptic equations with degeneracies. Providence, R.I: American Mathematical Society, 2011.

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21

Arutyunov, Aram V. Optimality Conditions: Abnormal and Degenerate Problems. Dordrecht: Springer Netherlands, 2000.

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22

Colombo, Maria. Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations. Pisa: Scuola Normale Superiore, 2017. http://dx.doi.org/10.1007/978-88-7642-607-0.

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23

Popivanov, Peter R. The degenerate oblique derivative problem for elliptic and parabolic equations. Berlin: Akademie Verlag, 1997.

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24

Elliptic, hyperbolic and mixed complex equations with parabolic degeneracy. Singapore: World Scientific, 2008.

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25

1953-, Kenig Carlos E., ed. Degenerate diffusions: Initial value problems and local regularity theory. Zürich: European Mathematical Society, 2007.

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26

The method of intrinsic scaling: A systematic approach to regularity for degenerate and singular PDEs. Berlin: Springer, 2008.

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27

Watling, Keith Duncan. Formulae for solutions to (possibly degenerate) diffusion equations exhibiting semi-classical and small time asymptotics. [s.l.]: typescript, 1986.

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28

Colombo, Maria. Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations: With Applications to the Vlasov-Poisson and Semigeostrophic Systems. Pisa: Scuola Normale Superiore, 2017.

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29

1943-, Gossez J. P., and Bonheure Denis, eds. Nonlinear elliptic partial differential equations: Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium. Providence, R.I: American Mathematical Society, 2011.

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30

Balackiy, Evgeniy, Natal'ya Ekimova, Aleksandr Rudnev, and Aleksandr Gusev. New approaches to modeling economic development. ru: INFRA-M Academic Publishing LLC., 2022. http://dx.doi.org/10.12737/1862597.

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Abstract:

The monograph presents new results of the authors' long-term research on various topical issues of economic development. All the proposed new approaches are given in the broad context of already existing theories and models, as well as illustrated by numerous vivid examples from the history of different countries. Most of the topics covered belong to the category of the most burning social issues of our time, which gives the work an element of scientific "freshness" and discussion. All the fundamental theses are accompanied by the necessary models, equations, formulas, graphs and figures, but in general the material is not overloaded with technical details, which makes it quite accessible to any interested reader. The peculiarity of the monograph is that all its sections are based on the "paradox principle", the essence of which is to formulate the original problem in the most acute form, taking the form of a logical paradox. The range of topics under consideration covers the history of mankind from antiquity to the modern state. For example, why did humanity, which had been vegetating in the Malthusian trap for 10 thousand years, break out of it at the turn of the XVII and XVIII centuries? What is needed so that the economic growth that has begun does not "choke" in a short time and does not degenerate again into prolonged stagnation? How are economic growth and return on capital related? How are income inequality and the country's investment activity related? How to measure and in practice link the dialectical properties of institutions that presuppose order and freedom? Is it possible to diagnose "failures" in the regulatory activities of central banks? How to explain the transcendent technological creativity of Russian researchers and engineers with Russia's systematic technological lag behind Western countries? Does Russia have a chance to join the club of the most developed and prosperous countries in the world and what is needed for this? And much, much more. It is addressed to both professional specialists and everyone interested in modern problems of human development.

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31

Degenerate Nonlinear Diffusion Equations. Springer, 2012.

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32

Degenerate Elliptic Equations. Springer, 2010.

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33

Levendorskii, Serge. Degenerate Elliptic Equations. Springer, 2013.

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34

DiBenedetto, Emmanuele. Degenerate Parabolic Equations. Springer, 2012.

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35

Saha, Prasenjit, and Paul A. Taylor. Gravity versus Pressure. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198816461.003.0005.

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Formally, the title of this chapter is a statement of the equation of hydrostatic equilibrium. A large number of stellar objects exist in the balance between gravity and pressure, with the large ‘zoo’ of observed types being due to the various physical phenomena providing the latter. This chapter is devoted to various applications of that equilibrium. Some cases can be solved exactly, such as spheres of solid rock or ice; some cases can only be solved in detail numerically, notably degenerate white dwarfs up to the Chandrasekhar mass limit. For other cases, analytical approximations such as a version of the virial theorem are helpful in understanding underlying structure and behaviour.

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36

Degenerate Differential Equations in Banach Spaces. Taylor & Francis Group, 1998.

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37

Favini, Angelo, and Atsushi Yagi. Degenerate Differential Equations in Banach Spaces. Taylor & Francis Group, 1998.

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38

Bell, Denis. Degenerate Stochastic Differential Equations and Hypoellipticity. Taylor & Francis Group, 1996.

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39

Attractors for Degenerate Parabolic Type Equations. American Mathematical Society, 2013.

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40

Nonlinear Potential Theory of Degenerate Elliptic Equations. Dover Publications, 2006.

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41

Martio, Olli, Juha Heinonen, and Tero Kipelainen. Nonlinear Potential Theory of Degenerate Elliptic Equations. Dover Publications, Incorporated, 2018.

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42

Kilpelainen, Tero, Olli Martio, and Juha Heinonen. Nonlinear Potential Theory of Degenerate Elliptic Equations. Dover Publications, Incorporated, 2012.

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43

Martio, Olli, Juha Heinonen, and Tero Kipelainen. Nonlinear Potential Theory of Degenerate Elliptic Equations. Dover Publications, Incorporated, 2018.

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44

DiBenedetto, Emmanuele, Ugo Gianazza, and Vincenzo Vespri. Harnack's Inequality for Degenerate and Singular Parabolic Equations. Springer New York, 2014.

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45

Stredulinsky, E. W. Weighted Inequalities and Degenerate Elliptic Partial Differential Equations. Springer London, Limited, 2006.

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46

Borodin, Alexei, and Leonid Petrov. Integrable probability: stochastic vertex models and symmetric functions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797319.003.0002.

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This chapter presents the study of a homogeneous stochastic higher spin six-vertex model in a quadrant. For this model concise integral representations for multipoint q-moments of the height function and for the q-correlation functions are derived. At least in the case of the step initial condition, these formulas degenerate in appropriate limits to many known formulas of such type for integrable probabilistic systems in the (1+1)d KPZ universality class, including the stochastic six-vertex model, ASEP, various q-TASEPs, and associated zero-range processes. The arguments are largely based on properties of a family of symmetric rational functions that can be defined as partition functions of the higher spin six-vertex model for suitable domains; they generalize classical Hall–Littlewood and Schur polynomials. A key role is played by Cauchy-like summation identities for these functions, which are obtained as a direct corollary of the Yang–Baxter equation for the higher spin six-vertex model.

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47

The Regularity Of General Parabolic Systems With Degenerate Diffusion. American Mathematical Society, 2013.

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48

Veron, Laurent. Local and Global Aspects of Quasilinear Degenerate Elliptic Equations. World Scientific Publishing Co Pte Ltd, 2017.

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49

Sviridyuk, Georgy A., and Vladimir E. Fedorov. Linear Sobolev Type Equations and Degenerate Semigroups of Operators. de Gruyter GmbH, Walter, 2012.

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50

Gazzola, Filippo, and Maurizio Garrione. Nonlinear Equations for Beams and Degenerate Plates with Piers. Springer, 2019.

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