The study of Lagrangian equations and gradient estimates occupies a critical niche at the intersection of partial differential equations, differential geometry, and variational calculus. Lagrangian ...
Aggregation-diffusion equations and gradient flows form a dynamic field of study at the intersection of mathematical analysis, statistical mechanics and applied physics. These equations characterise ...
This paper deals with the phenomenon of gradient blow-up of nonnegative classical solutions of the Dirichlet problem for (*) ${\mathrm{u}}_{\mathrm{t}}={\mathrm{u ...
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