Dispersive and Strichartz estimates on H-type groups

• Autorzy: Martin Del Hierro
• Języki publikacji: EN

Abstrakty

EN

Our purpose is to generalize the dispersive inequalities for the wave equation on the Heisenberg group, obtained in [1], to H-type groups. On those groups we get optimal time decay for solutions to the wave equation (decay as $t^{-p/2}$) and the Schrödinger equation (decay as $t^{(1-p)/2}$), p being the dimension of the center of the group. As a corollary, we obtain the corresponding Strichartz inequalities for the wave equation, and, assuming that p > 1, for the Schrödinger equation.

Kategorie tematyczne

• 22E25: Nilpotent and solvable Lie groups
• 35H20: Subelliptic equations
• 33C45: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
• 17B70: Graded Lie (super)algebras
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 169
• Numer: 1
• Strony: 1-20

Daty

wydano

2005

Twórcy

autor

Martin Del Hierro

• Université de Cergy-Pontoise, Site St-Martin, 2, av. Adolphe Chauvin, 95302 Cergy-Pontoise, France

Identyfikatory

DOI

10.4064/sm169-1-1