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GuillaumeLaplante-Anfossi
GitHub Repository: GuillaumeLaplante-Anfossi/Poissons
 Path: blob/main/AMS/index.tex
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%-----------------------------------------------------------------------

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% Beginning of index.tex

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%-----------------------------------------------------------------------

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%

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%  AMS-LaTeX sample file for a monograph index, as used by AMS document

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%  classes for book series.  This is a data file input by chapter.tex.

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%  It was copied from a .ind file prepared for another purpose, and is

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%  given here only for the purpose of showing the output format of an

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%  index in this series.

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%

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% *** DO NOT CREATE YOUR INDEX FILE BY HAND, or use this as a model. ***

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%  Put \index{...} entries in your source files.  Put \makeindex and

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%  \printindex in your driver file, as shown in the template, to produce

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%  a .idx file.  When the .idx file is processed by the makeindex

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%  program, it will produce the .ind file with correct page numbers.

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%

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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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\begin{theindex}

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\item Absorbing barrier, 4

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\item Adjoint partial differential operator, 20

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\item $A$-harmonic function, 16, 182

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\item $A^*$-harmonic function, 182

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\indexspace

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\item Boundary condition, 20, 22

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\subitem Dirichlet, 15

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\subitem Neumann, 16

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\item Boundary value problem

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\subitem the first, 16

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\subitem the second, 16

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\subitem the third, 16

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\item Bounded set, 19

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\indexspace

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\item Diffusion

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\subitem coefficient, 1 

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\subitem equation, 3, 23

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\item Dirichlet

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\subitem boundary condition, 15

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\subitem boundary value problem, 16

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\indexspace

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\item Elliptic

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\subitem boundary value problem, 14, 158

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\subitem partial differential equation, 14

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\subitem partial differential operator, 19

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\indexspace

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\item Fick's law, 1

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\item Flux, 1

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\item Formally adjoint partial differential operator, 20

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\item Fundamental solution

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\subitem conceptional explanation, 12

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\subitem general definition, 23

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\subitem temporally homogeneous case, 64, 112

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\indexspace

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\item Genuine solution, 196

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\item Green function, 156

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\item Green's formula, 21

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\indexspace

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\item Harnack theorems

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\subitem first theorem, 185

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\subitem inequality, 186

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\subitem lemma, 186

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\subitem second theorem, 187

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\subitem third theorem, 187

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\item Helmhotz decomposition, 214

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\item Hilbert-Schmidt expansion theorem, 120

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\indexspace

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\item Initial-boundary value problem, 22

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\item Initial condition, 22

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\item Invariant measure (for the fundamental solution), 167

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\indexspace

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\item Maximum principle

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\subitem for $A$-harmonic functions, 183

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\subitem for parabolic differential equations, 65

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\subitem strong, 83

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\indexspace

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\item Neumann

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\subitem boundary condition, 16

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\subitem boundary value problem, 16

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\subitem function, 179

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\indexspace

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\item One-parameter semigroup, 113

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\indexspace

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\item Parabolic initial-boundary value problem, 22

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\item Partial differential equation

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\subitem of elliptic type, 14

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\subitem of parabolic type, 22

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\item Positive definite kernel, 121

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\indexspace

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\item Reflecting barrier, 4

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\item Regular (set), 19

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\item Removable isolated singularity, 191

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\item Robin problem, 16

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\indexspace

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\item Semigroup property (of fundamental solution), 64, 113

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\item Separation of variables, 131

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\item Solenoidal (vector field), 209

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\item Strong maximum principle, 83

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\item Symmetry (of fundamental solution), 64, 112

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\indexspace

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\item Temporally homogeneous, 111

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\indexspace

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\item Vector field with potential, 209

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\indexspace

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\item Weak solution

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\subitem of elliptic equations, 195

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\subitem of parabolic equation, 196

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\subitem associated with a boundary condition, 204

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\end{theindex}

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%-----------------------------------------------------------------------

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% End of index.tex

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%-----------------------------------------------------------------------

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