Seminar “Absence of nontrivial weak solutions, some nonlinear algorithms with gradient nonlinearity”
Seminar “Absence of nontrivial weak solutions, some nonlinear algorithms with gradient nonlinearity”
The event passed
3 Oct 2023
Location
Online
About the event
On 3 October at 18:00 p.m. (Moscow time)
Speakers:
- Evgeny Galakhov, Professor, Doctor of Physical and Mathematical Sciences;
- Vase Esmelalem Admasu, PhD student, RUDN University.
Sufficient conditions for the absence of nontrivial weak solutions of nonlinear inequalities and systems with integer powers of the Laplace operator and with a nonlinear term of the form a(x)|∇(∆mu)|q+ b(x)|∇u|s are considered. At the same time, optimal a priori estimates obtained by the nonlinear capacity method with an appropriate choice of trial functions are used. As a result, the absence of nontrivial weak solutions of nonlinear inequalities and systems is proved to the contrary.
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