Solvability of a class of first order differential operators on the torus
MF de Almeida, PL Dattori da Silva - Results in Mathematics, 2021 - Springer
This paper deals with Gevrey global solvability on the N-dimensional torus (TN≃ RN/2 π ZN)
to a class of nonlinear first order partial differential equations in the form L u-au-bu¯= f …
to a class of nonlinear first order partial differential equations in the form L u-au-bu¯= f …
Existence and regularity of periodic solutions for a class of partial differential operators
AP Bergamasco, MM Cavalcanti… - Journal of Fourier Analysis …, 2021 - Springer
We give a complete answer to the questions concerning existence and regularity of periodic
solutions to a class of linear partial differential operators. The results depend on Diophantine …
solutions to a class of linear partial differential operators. The results depend on Diophantine …
[HTML][HTML] Solvability for perturbations of a class of real vector fields on the two-torus
Let L=∂ t+ a (x)∂ x be a real vector field defined on the two-dimensional torus T 2, where a
is a real-valued and smooth function on T 1. We deal with the global solvability of equations …
is a real-valued and smooth function on T 1. We deal with the global solvability of equations …