Special Session 9
Integration by parts vs fully-nonlinear approach: existence, regularity, qualitative properties
Organizers:
- Antonella Nastasi (University of Palermo, Italy),
- Stefano Buccheri (University of Naples “Federico II”, Italy),
- Luís Henrique De Miranda (University of Brasilia, Brazil)
MSC codes: 35B65
Description:
If the structure of the PDEs you are dealing with allows, you can work through a weak formulation that is based on integration by parts and on the notion of distributional derivatives. Alternatively, you can use the viscosity solution method in which the equation is evaluated point-wise at suitable smooth functions. In some cases, you can choose the approach to follow, in other ones you are forced to. This session wants to be an occasion to see these different approaches in action, to discuss the different types of results that one can obtain following the two, or the different strategies that need to be developed to achieve the same goal. In organizing this session, we also intend to, to the best of our ability, make the environment more inclusive and the participants reflect the diversity of mathematicians in the field. We intend to encourage the participation of early career mathematicians as well as mathematicians from underrepresented minority communities.
Speakers:
- Pêdra Andrade, Paris Lodron University of Salzburg (Austria)
- João Vítor Da Silva, University of Campinas (Brazil)
- Luís Henrique de Miranda, University of Brasilia (Brazil)
- Carlos Alberto Dos Santos, University of Brasilia (Brazil)
- Luciano Mari, University of Milan (Italy)
- Francescantonio Oliva, University of Rome “Sapienza” (Italy)
- Cintia Pacchiano Camacho, National Autonomous University of Mexico (Mexico)
- Gloria Paoli, University of Naples “Federico II” (Italy)
- Antonia Passarelli, University of Naples “Federico II” (Italy)
- Adilson Presoto, Federal University of São Carlos (Brazil)
- Mayra Soares, University of Brasilia (Brazil)
- Aelson Sobral, KAUST (Saudi Arabia)
