Lp̳ Estimates for Friedrich's Scheme for Strongly Hyperbolic Systems in Two Space VariablesChalmers Institute of Technology and the University of Göteborg, 1971 - Exponential functions - 108 pages |
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a)-correct accurate of order Assume that 0.1 Banach algebra Besov space Carlson-Beurling lemma Cauchy problem Ch² clluoll compact support completes the proof constant coefficient defined denote difference approximation E(mk E(nk exist positive constants exists a constant exp(Cnh explicit difference operator Fourier transform Friedrichs given h¯¹y Hence Hörmander inequality integer L-estimates L₂-correct Lemma A7 lemma follows Let F m_ x_ M_(w m₂ matrix function matrix of distributions multipliers norms notation NxN matrix obtain partition of unity positive integer problem 0.1 proof of Lemma Proposition 3.4 R₁₂ h¹y rate of convergence real numbers scheme smooth function space variables spectral radius stability estimate supp Theorem 0.1 trigonometric polynomial uniformly bounded Y₁ α α ατ ΣΦ 이글