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1

1963-, Zhang Tusheng, and Zhao Huaizhong 1964-, eds. The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations. Providence, R.I: American Mathematical Society, 2008.

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2

Zwiers, J. Compositionality, concurrency, and partial correctness: Proof theories for networks of processes and their relationship. Berlin: Springer-Verlag, 1989.

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3

Jean-Yves, Chemin, Danchin Raphaël, and SpringerLink (Online service), eds. Fourier Analysis and Nonlinear Partial Differential Equations. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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4

Ghandehari, Mostafa. Ray optics on surfaces. Arlington: Dept. of Mathematics, University of Texas at Arlington, 1997.

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5

Krantz, Steven G. The Implicit Function Theorem: History, Theory, and Applications. New York, NY: Springer New York, 2013.

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6

Compositionality, concurrency, and partial correctness: Proof theories for networks of processes and their relationship. Berlin: Springer-Verlag, 1989.

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7

A new approach to the local embedding theorem of CR-structures for n [greater than or equal to] 4 (the local solvability for the operator [overbarred partial] B in the abstract sense). Providence, R.I: American Mathematical Society, 1987.

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8

Hoehnke, Hans-Jürgen. Partial algebras and their theories. New York: Springer, 2005.

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9

Vasilʹevich, Fedori︠u︡k Mikhail, ed. Partial differential equations. Berlin: Springer, 1999.

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10

Partial stability and control. Boston: Birkhauser, 1998.

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11

1937-, Dawson Donald Andrew, and Université de Montréal. Centre de recherches mathématiques., eds. Measure-valued processes, stochastic partial differential equations, and interacting systems. Providence, R.I., USA: American Mathematical Society, 1994.

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12

Pommaret, J. F. Partial differential control theory. Dordrecht: Kluwer Academic, 2001.

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13

Schechter, Martin. Spectra of partial differential operators. 2nd ed. Amsterdam: North-Holland, 1986.

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14

Dziuk, Gerhard. Theorie und Numerik partieller Differentialgleichungen. Berlin: De Gruyter, 2010.

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15

The theory of partial algebraic operations. Dordrecht: Kluwer Academic, 1997.

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16

1942-, Triggiani R., ed. Control theory for partial differential equations: Continuous and approximation theories. Cambridge: Cambridge University Press, 2000.

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17

1943-, Bandle Catherine, ed. Progress in partial differential equations. Harlow, Essex, England: Longman Scientific & Technical, 1992.

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18

Ljapin, E. S. The Theory of Partial Algebraic Operations. Dordrecht: Springer Netherlands, 1997.

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19

Marco, Biroli, ed. Potential theory and degenerate partial differential operators. Dordrecht: Kluwer Academic Publishers, 1995.

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20

Friedman, Avner. Generalized functions and partial differential equations. Mineola, N.Y: Dover Publications, 2005.

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21

Oscillation theory of partial differential equations. Singapore: World Scientific, 2008.

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22

The homotopy index and partial differential equations. Berlin: Springer-Verlag, 1987.

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23

Floquet theory for partial differential equations. Basel: Birkhäuser Verlag, 1993.

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24

Oleg, Imanuvilov, ed. Control theory of partial differential equations. Boca Raton: Chapman & Hall/CRC, 2005.

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25

1952-, Kalitvin Anatolij S., and Zabreĭko P. P. 1939-, eds. Partial integral operators and integro-differential equations. New York: M. Dekker, 2000.

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26

Rozanov, Yu A. Random Fields and Stochastic Partial Differential Equations. Dordrecht: Springer Netherlands, 1998.

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27

Saiprasad, M., and Ms M. Jayaprada. Partial Differentiation and Euler Theorem: Calculus. Independently Published, 2018.

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28

M. Saiprasad B.Sc(maths) B.E(civil) MIE(India) and Ms M. Jayaprada. Partial Derivatives and Euler Theorem: Calculus. Independently Published, 2018.

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29

M. Saiprasad B.Sc (maths) B.E (civil) MIE (India). Partial Derivatives and Euler Theorem: Calculus. Independently Published, 2018.

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30

Saiprasad, M. Partial Derivatives and Euler Theorem: Calculus. Independently Published, 2018.

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31

Saiprasad, M., and Ms Jayaprada M. Sc (Maths). Partial Differentiation with Euler Theorem: A Guide to Calculus. Independently Published, 2017.

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32

M. Saiprasad B.Sc(maths) B.E(civil) MIE(india). Partial Differentiation and Euler Theorem: 70+ Worked Out Examples. Independently Published, 2017.

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33

Seifert, Christian, Marcus Waurick, and Sascha Trostorff. Evolutionary Equations: Picard's Theorem for Partial Differential Equations, and Applications. Springer International Publishing AG, 2021.

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34

Seifert, Christian, Marcus Waurick, and Sascha Trostorff. Evolutionary Equations: Picard's Theorem for Partial Differential Equations, and Applications. Springer International Publishing AG, 2021.

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35

M. Saiprasad B.Sc(maths) B.E(civil) MIE(india). Partial Derivatives and Euler Theorem: 70+ Worked Out Examples Calculus. Independently Published, 2017.

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36

Kuhler, Ulirich. Tacti-Based Inductive Theorem Prover for Data Types With Partial Operations. Ios Pr Inc, 2000.

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37

Implicit Function Theorem: History, Theory, and Applications. Birkhauser Verlag, 2012.

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38

Chemin, Jean-Yves, Hajer Bahouri, and Raphaël Danchin. Fourier Analysis and Nonlinear Partial Differential Equations. Springer, 2013.

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39

Krantz, Steven G., and Harold R. Parks. The Implicit Function Theorem: History, Theory, and Applications. Birkhäuser, 2012.

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40

PythagoreanHodograph Curves Geometry and Computing. Springer, 2010.

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41

Mann, Peter. Matrices. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0031.

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This chapter looks at the calculus of a function of two or more variables, which is the subject of partial differentiation. The partial derivative of a function is the rate of change of the function with respect to the distance in the direction of a particular coordinate axis and is symbolised with the sign ∂. The chapter spends time on the implicit function theorem, since it is relied upon heavily elsewhere in the text. Lagrange multipliers are used to solve constrained optimisation problems. Topics include critical points, the product rule, the chain rule, directional derivatives, hypersurfaces and Taylor’s theorem. In addition, the chapter discusses Jacobian matrices, the inverse function theorem, gradients, level sets and Hessian matrices.
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42

Street, Brian. Multi-parameter Singular Integrals. (AM-189). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691162515.001.0001.

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This book develops a new theory of multi-parameter singular integrals associated with Carnot–Carathéodory balls. The book first details the classical theory of Calderón–Zygmund singular integrals and applications to linear partial differential equations. It then outlines the theory of multi-parameter Carnot–Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. The book then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. This book will interest graduate students and researchers working in singular integrals and related fields.
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43

Bernardin, Cédric, and Patricia Gonçalves. From Particle Systems to Partial Differential Equations: Particle Systems and PDEs, Braga, Portugal, December 2012. Springer London, Limited, 2014.

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44

Bernardin, Cédric, and Patrícia Gonçalves. From Particle Systems to Partial Differential Equations: Particle Systems and PDEs, Braga, Portugal, December 2012. Springer Berlin / Heidelberg, 2016.

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45

Katz, Lawrence F. Efficiency wage theories: A partial evaluation. 1986.

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46

Street, Brian. The Calder´on-Zygmund Theory II: Maximal Hypoellipticity. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691162515.003.0002.

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This chapter remains in the single-parameter case and turns to the case when the metric is a Carnot–Carathéodory (or sub-Riemannian) metric. It defines a class of singular integral operators adapted to this metric. The chapter has two major themes. The first is a more general reprise of the trichotomy described in Chapter 1 (Theorem 2.0.29). The second theme is a generalization of the fact that Euclidean singular integral operators are closely related to elliptic partial differential equations. The chapter also introduces a quantitative version of the classical Frobenius theorem from differential geometry. This “quantitative Frobenius theorem” can be thought of as yielding “scaling maps” which are well adapted to the Carnot–Carathéodory geometry, and is of central use throughout the rest of the monograph.
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47

Gonçalves, Patrícia, and Ana Jacinta Soares. From Particle Systems to Partial Differential Equations III: Particle Systems and PDEs III, Braga, Portugal, December 2014. Springer, 2018.

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48

Gonçalves, Patrícia, and Ana Jacinta Soares. From Particle Systems to Partial Differential Equations III: Particle Systems and PDEs III, Braga, Portugal, December 2014. Springer, 2016.

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49

Gonçalves, Patrícia, and Ana Jacinta Soares. From Particle Systems to Partial Differential Equations III: Particle Systems and PDEs III, Braga, Portugal, December 2014. Springer London, Limited, 2016.

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50

Hattori, Harumi. Partial Differential Equations: Methods, Applications and Theories. World Scientific Publishing Co Pte Ltd, 2013.

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