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On \(L_2-L_{p'}\) estimates for the wave-equation. (English) Zbl 0321.35052


MSC:

35L30 Initial value problems for higher-order hyperbolic equations
35E15 Initial value problems for PDEs and systems of PDEs with constant coefficients
35S10 Initial value problems for PDEs with pseudodifferential operators
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References:

[1] Domar, Y.: On the spectral synthesis problem for (n?1)-dimensional subsets of ? n , Ark. Mat.9, 23-37 (1971) · Zbl 0212.15004 · doi:10.1007/BF02383635
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[4] Littman, W.:L p?Lq-estimates for singular integral operators arising from hyperbolic equations, In: Proceedings of Symposia in Pure Mathematics, Vol. 23. Partial Differential Equations, (Berkeley 1971). pp. 479-481. Providence: American Mathematical Society 1973
[5] Löfström, J.: Besov-spaces in the theory of approximation, Ann. Mat. pura appl. IV Ser.85, 93-184 (1970) · Zbl 0193.41401 · doi:10.1007/BF02413532
[6] Petree, J.: Application de la théorie des espaces d’interpolation dans l’analyse harmonique, Ricerche Mat.15, 1-36 (1966)
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[8] Strichartz, R.S.: A priori estimates for the wave-equation and some applications, J. functional Analysis5, 218-235 (1970) · Zbl 0189.40701 · doi:10.1016/0022-1236(70)90027-3
[9] Taibleson, M.H.: On the theory of Lipschitz-spaces of distributions on Euclideann-space, J. Math. Mech., I:13, 407-480 (1964), II:14, 821-840 (1965), III:15, 973-982 (1966)
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