By Giovanna Citti,Maria Manfredini,Daniele Morbidelli,Sergio Polidoro,Francesco Uguzzoni
The research of PDEs is a widespread self-discipline in arithmetic learn, either by way of its theoretical features and its relevance in purposes. lately, the geometric homes of linear and nonlinear moment order PDEs of elliptic and parabolic sort were broadly studied by way of many awesome researchers. This ebook collects contributions from a particular workforce of major specialists who took half within the INdAM assembly "Geometric equipment in PDEs", at the social gathering of the seventieth birthday of Ermanno Lanconelli. They describe a few new achievements and/or the state-of-the-art of their self-discipline of analysis, delivering readers an summary of contemporary growth and destiny study developments in PDEs. particularly, the amount collects major effects for sub-elliptic equations, capability idea and diffusion equations, with an emphasis on evaluating various methodologies and on their implications for conception and applications.
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