On some improperly posed problems for quasilinear equations of mixed type

On some improperly posed problems for quasilinear equations of mixed type
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Trans. Amer. Math. Soc. 128 (1967), 135-141

DOI: https://doi.org/10.1090/S0002-9947-1967-0212407-1

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References

J. R. Cannon, A Cauchy problem for the wave equation for a space-like region, Matematiche (Catania) 16 (1961), 43–50. MR 140849
Fritz John, A note on “improper” problems in partial differential equations, Comm. Pure Appl. Math. 8 (1955), 591–594. MR 75428, DOI 10.1002/cpa.3160080409
Fritz John, Continuous dependence on data for solutions of partial differential equations with a presribed bound, Comm. Pure Appl. Math. 13 (1960), 551–585. MR 130456, DOI 10.1002/cpa.3160130402
Louis Nirenberg, Uniqueness in Cauchy problems for differential equations with constant leading coefficients, Comm. Pure Appl. Math. 10 (1957), 89–105. MR 86232, DOI 10.1002/cpa.3160100104
L. E. Payne, On some non well posed problems for partial differential equations, Numerical Solutions of Nonlinear Differential Equations (Proc. Adv. Sympos., Madison, Wis., 1966) John Wiley & Sons, Inc., New York, N.Y., 1966, pp. 239–263. MR 0213749
L. E. Payne and D. Sather, On some improperly posed problems for the Chaplygin equation, J. Math. Anal. Appl. 19 (1967), 67–77. MR 212406, DOI 10.1016/0022-247X(67)90021-2
Carlo Pucci, Sui problemi di Cauchy non “ben posti”, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 18 (1955), 473–477 (Italian). MR 87873