ar X iv : m at h / 05 02 50 5 v 1 [ m at h . A P ] 2 4 Fe b 20 05 Some Remarks on Strichartz Estimates for Homogeneous Wave Equation ∗
نویسنده
چکیده
We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of Lx estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate L 4 n−1 t Lx for n = 2, 3 even for data in inhomogeneous Sobolev spaces.
منابع مشابه
ar X iv : m at h / 05 02 50 5 v 2 [ m at h . A P ] 1 1 A ug 2 00 5 Some Remarks on Strichartz Estimates for Homogeneous Wave Equation ∗
We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of Lx estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate L 4 n−1 t Lx for n = 2, 3 even for data in inhomogeneous Sobolev spaces.
متن کاملar X iv : m at h / 05 02 50 5 v 3 [ m at h . A P ] 1 6 A ug 2 00 5 Some Remarks on Strichartz Estimates for Homogeneous Wave Equation ∗
We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of Lx estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate L4tL ∞ x for n = 2.
متن کاملar X iv : m at h / 05 02 05 3 v 3 [ m at h . G N ] 2 5 Fe b 20 05 SOME RESULTS IN GENERALIZED ŠERSTNEV SPACES
In this paper, we show that D-compactness in GeneralizedŠerstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic GeneralizedŠerstnev is not D-compact in general. Finally, in the finite dimensional GeneralizedŠerstnev spaces a subset is D-compact if and only if it is D-bounded and closed.
متن کاملar X iv : m at h / 05 02 05 3 v 2 [ m at h . G N ] 2 3 Fe b 20 05 SOME RESULTS IN GENERALIZED ŠERSTNEV SPACES
In this paper, we show that D-compactness in GeneralizedŠerstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic GeneralizedŠerstnev is not D-compact in general. Finally, in the finite dimensional GeneralizedŠerstnev spaces a subset is D-compact if and only if is D-bounded and closed.
متن کاملar X iv : m at h / 04 12 47 5 v 2 [ m at h . FA ] 1 2 Fe b 20 05 On the Orthogonal Stability of the Pexiderized Quadratic Equation ∗
The Hyers–Ulam stability of the conditional quadratic functional equation of Pexider type f(x + y) + f(x − y) = 2g(x) + 2h(y), x ⊥ y is established where ⊥ is a symmetric orthogonality in the sense of Rätz and f is odd. ∗2000 Mathematics Subject Classification. Primary 39B52, secondary 39B82.
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تاریخ انتشار 2005