Hi everyone. For people who already saw me in this forum, I know I may seem boring with all these questions about PDE, but I promise this will be the last :D(adsbygoogle = window.adsbygoogle || []).push({});

Anyway, as the title says, which are the main trends of differential equations research, especially nonlinear differential equations(which are widely used in cancer research, just to mention an example)?

Secondly, are those problems most related with finding a particular solution for a differential equation, or are they concerned with the existence and regularity of solutions in a given domain?

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# A Open problems in PDE research

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