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- W2075745018 abstract "We generalize the dispersive estimates and Strichartz inequalities for the solution of the wave equation related to the full Laplacian on H-type groups, by means of Besov spaces defined by a Littlewood-Paley decomposition related to the spectral of the full Laplacian. The dimension of the center on those groups is p and we assume that<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>p</mml:mi><mml:mo>></mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>. A key point consists in estimating the decay in time of the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>∞</mml:mi></mml:msup></mml:mrow></mml:math>norm of the free solution. This requires a careful analysis due also to the nonhomogeneous nature of the full Laplacian." @default.
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- W2075745018 date "2014-01-01" @default.
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- W2075745018 title "Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups" @default.
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- W2075745018 doi "https://doi.org/10.1155/2014/219375" @default.
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