Lp̳ estimates for Friedrich's scheme for strongly hyperbolic systems in two space variables, Issues 1971-1976
Chalmers Institute of Technology and the University of Göteborg, 1971 - Functions, Exponential - 108 pages
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accurate of order Assume that 0.1 Banach algebra Besov space Carlson-Beurling lemma Cauchy problem compact support completes the proof defined dissipative of order E(nk eigenvalues estimate IYI exist positive constants exists a constant explicit difference operator factor x following estimate holds Fourier transform Friedrichs1 scheme functions cp given Hbrmander Hence inequality IYI norm Lemma A7 Let F matrix function matrix of distributions multipliers notation obtain operator with constant P J P p,a correct partition of unity positive integer problem 0.1 proof of Lemma proof of Theorem Proposition 1.5 Proposition 3.4 Proposition A4 proposition follows proves the lemma proves the proposition rate of convergence real numbers smooth function solution operator space variables spectral radii stability estimate suffices supp cp supp f Theorem 0.1 Theorem O.l(i trigonometric polynomial Uie note uQ(x wave equation well-posed