PhD Thesis of Jérôme Droniou:
Study of some Partial Differential Equations
You can download my PhD thesis from this page, piece by piece or as a whole.
It has been written partially in French and partially in English.
As a whole: in .ps (3 MO) or
in .pdf (3,2 MO).
Piece by piece:
-
Introduction, table of contents and abstract (in French):
in .ps (407 ko) or
in .pdf (231 ko).
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Noncoercive Elliptic Problems
(partially in English, partially in French):
in .ps (952 ko) or
in .pdf (734 ko). Some results of this part are linked to the appendix.
-
Uniqueness of the Solutions Obtained as Limits of Approximations
(partially in English, partially in French):
in .ps (526 ko) or
in .pdf (310 ko). The end of this part (section 5.2) uses some things
constructed in the preceding part.
-
The Hyperbolicity Condition for First Order Systems
(in English):
in .ps (611 ko) or
in .pdf (402 ko).
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A Density Result in Sobolev Spaces
(in English): in .ps (309 ko) or
in .pdf (268 ko).
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Convergence of a Finite Volume - Mixed Finite Element Method for a
System of a Hyperbolic Equation and an Elliptic Equation (in English):
in .ps (747 ko) or
in .pdf (438 ko).
-
Parabolic Capacity and Soft Measures for Nonlinear Parabolic Equations
(in English): in .ps (813 ko) or
in .pdf (438 ko).
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References: in .ps (327 ko) or
in .pdf (100 ko). The references are those of the whole thesis.
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Appendix - Hölder Continuity of the Solutions of an Elliptic Equation
(in French):
in .ps (450 ko) or
in .pdf (312 ko).
