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27 changes: 24 additions & 3 deletions main.tex
Original file line number Diff line number Diff line change
Expand Up @@ -109,16 +109,37 @@
%% -----------------------------------------------
% Entornos matemáticos
%% -----------------------------------------------
\theoremstyle{definition}
% Estilos de enunciado. El título opcional se compone automáticamente entre
% paréntesis y el cuerpo empieza en una línea nueva: basta escribir
% \begin{Teorema}[Título] y no hace falta ni paréntesis ni salto explícitos.
\newtheoremstyle{asfdefinicion}% nombre
{\topsep}{\topsep}% espacio antes / después
{\normalfont}{}% cuerpo / sangrado
{\bfseries}{.}% cabecera / puntuación
{\newline}{}% salto tras la cabecera / formato por defecto

\newtheoremstyle{asfplain}
{\topsep}{\topsep}
{\itshape}{}
{\bfseries}{.}
{\newline}{}

\newtheoremstyle{asfobservacion}
{\topsep}{\topsep}
{\normalfont}{}
{\itshape}{.}
{\newline}{}

\theoremstyle{asfdefinicion}
\newtheorem{Definicion}{Definición}[chapter]

\theoremstyle{plain}
\theoremstyle{asfplain}
\newtheorem{Teorema}{Teorema}[chapter]
\newtheorem{Proposicion}{Proposición}[chapter]
\newtheorem{Lema}[Teorema]{Lema}
\newtheorem{Corolario}[Teorema]{Corolario}

\theoremstyle{remark}
\theoremstyle{asfobservacion}
\newtheorem{Observacion}{Observación}[chapter]

% Estilo: Cambia el simbolo de QED por un cuadrado negro
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99 changes: 99 additions & 0 deletions secciones/biblio.bib
Original file line number Diff line number Diff line change
Expand Up @@ -24,6 +24,16 @@ @book{conway-1990-cou-fun-ana
year = {1990}
}

@book{engel-2006-sho-cou-ope,
author = {Engel, Klaus-Jochen and Nagel, Rainer},
title = {A Short Course on Operator Semigroups},
series = {Universitext},
publisher = {Springer},
address = {New York},
year = {2006},
isbn = {9780387313412}
}

@book{evans-2010-par-dif-equ,
author = {Evans, Lawrence C.},
title = {Partial Differential Equations},
Expand All @@ -42,6 +52,27 @@ @book{folland_1999_real
year = {1999}
}

@article{gearhart-1978-spe-the-con,
author = {Gearhart, Larry},
title = {Spectral theory for contraction semigroups on {H}ilbert space},
journal = {Transactions of the American Mathematical Society},
volume = {236},
pages = {385--394},
year = {1978},
doi = {10.1090/S0002-9947-1978-0461206-1}
}

@book{gurtin-1982-int-con-mec,
author = {Gurtin, Morton E.},
title = {An Introduction to Continuum Mechanics},
series = {Mathematics in Science and Engineering},
volume = {158},
publisher = {Academic Press},
address = {New York},
year = {1981},
isbn = {9780123097507}
}

@book{kreyszig-1978-int-fun-ana,
author = {Kreyszig, Erwin},
title = {Introductory Functional Analysis with Applications},
Expand All @@ -50,6 +81,28 @@ @book{kreyszig-1978-int-fun-ana
year = {1978}
}

@book{liu-1999-sem-ass-dis,
author = {Liu, Zhuangyi and Zheng, Songmu},
title = {Semigroups Associated with Dissipative Systems},
series = {Chapman \& Hall/CRC Research Notes in Mathematics},
volume = {398},
publisher = {Chapman \& Hall/CRC},
address = {Boca Raton},
year = {1999},
isbn = {9780849306150}
}

@article{munozrivera-2002-mil-dis-non,
author = {Mu{\~n}oz Rivera, Jaime E. and Racke, Reinhard},
title = {Mildly dissipative nonlinear {T}imoshenko systems: global existence and exponential stability},
journal = {Journal of Mathematical Analysis and Applications},
volume = {276},
number = {1},
pages = {248--278},
year = {2002},
doi = {10.1016/S0022-247X(02)00436-5}
}

@book{pazy-1983-sem-lin-ope,
author = {Pazy, A.},
title = {Semigroups of Linear Operators and Applications to Partial Differential Equations},
Expand All @@ -60,6 +113,17 @@ @book{pazy-1983-sem-lin-ope
year = {1983}
}

@article{pruss-1984-spe-c-0,
author = {Pr{\"u}ss, Jan},
title = {On the spectrum of {$C_0$}-semigroups},
journal = {Transactions of the American Mathematical Society},
volume = {284},
number = {2},
pages = {847},
year = {1984},
doi = {10.2307/1999112}
}

@book{reed-1980-met-mod-mat,
author = {Reed, Michael and Simon, Barry},
title = {Methods of Modern Mathematical Physics I: Functional Analysis},
Expand All @@ -69,6 +133,41 @@ @book{reed-1980-met-mod-mat
year = {1980}
}

@article{soufyane-1999-sta-de-la,
author = {Soufyane, Abdelaziz},
title = {Stabilisation de la poutre de {T}imoshenko},
journal = {Comptes Rendus de l'Acad{\'e}mie des Sciences - Series I - Mathematics},
volume = {328},
number = {8},
pages = {731--734},
year = {1999},
doi = {10.1016/S0764-4442(99)80244-4}
}

@article{timoshenko-1921-lxv-ion-cor,
author = {Timoshenko, Stephen P.},
title = {On the correction for shear of the differential equation for transverse vibrations of prismatic bars},
journal = {The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science},
series = {6},
volume = {41},
number = {245},
pages = {744--746},
year = {1921},
doi = {10.1080/14786442108636264}
}

@article{timoshenko-1922-x-ion-tra,
author = {Timoshenko, Stephen P.},
title = {On the transverse vibrations of bars of uniform cross-section},
journal = {The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science},
series = {6},
volume = {43},
number = {253},
pages = {125--131},
year = {1922},
doi = {10.1080/14786442208633855}
}

@book{yosida-1980-fun-ana,
author = {Yosida, K\=osaku},
title = {Functional Analysis},
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