Radial solutions of a class of iterated partial differential equations
We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type
Radial type solutions for a class of third order equations and their iterates
Radial-type complete solutions for a class of partial differential equations
We give some fundamental solutions of a class of iterated elliptic equations including Laplace equation and its iterates.
Real and complex fundamental solutions. A way for unifying mathematical analysis.
Résolubilité Gevrey d'opérateurs différentiels à coefficients constants
Si discute l'esistenza di soluzioni su insiemi aperti per equazioni differenziali iperbolico-ipoellittiche. Si dà una caratterizzazione geometrica quasi completa per aperti .
Résolubilité sur un espace riemannien symétrique
Resolvent estimates and the decay of the solution to the wave equation with potential
We prove a weighted estimate for the solution to the linear wave equation with a smooth positive time independent potential. The proof is based on application of generalized Fourier transform for the perturbed Laplace operator and a finite dependence domain argument. We apply this estimate to prove the existence of global small data solution to supercritical semilinear wave equations with potential.