Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel'fand

Neural operators for forward and inverse PDE problems

Existence of global-in-time solutions to a system of fully nonlinear parabolic equations

Upper and lower bounds for energy of small solutions to semilinear wave equations
with weakly dissipative structure

Time-decay estimate with diffusion waves for the compressible viscous fluid model
with capillarity

Global dynamics above the ground state threshold for nonlinear Schrödinger equations

Stability of rotating liquid drops

Continuity of a spatial gradient for the parabolic $(1, p)$-Laplace equation