229 research outputs found
Time fractional diffusion equations: solution concepts, regularity and long-time behaviour
In this paper we give a survey of results on various analytical aspects of
time fractional diffusion equations. We describe the approach via abstract
Volterra equations and collect results on strong solutions in the sense.
We further discuss the concept of weak solutions for equations with rough
coefficients and give an account of recent developments towards a De
Giorgi-Nash-Moser theory for such equations. The last part summarizes recent
results on the long-time behaviour of solutions, which turns out to be
significantly different from that in the heat equation case.Comment: 19 page
International Conference on Nonlinear Differential Equations and Applications
Dear Participants, Colleagues and Friends
It is a great honour and a privilege to give you all a warmest welcome to the first Portugal-Italy Conference on Nonlinear Differential Equations and Applications (PICNDEA).
This conference takes place at the Colégio Espírito Santo, University of Évora, located in the beautiful city of Évora, Portugal. The host institution, as well the associated scientific research centres, are committed to the event, hoping that it will be a benchmark for scientific collaboration between the two countries in the area of mathematics.
The main scientific topics of the conference are Ordinary and Partial Differential Equations, with particular regard to non-linear problems originating in applications, and its treatment with the methods of Numerical Analysis. The fundamental main purpose is to bring together Italian and Portuguese researchers in the above fields, to create new, and amplify previous collaboration, and to follow and discuss new topics in the area
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