On existence in the Cauchy problem for the biharmonic equation
Schaefer, Philip W.
Compositio Mathematica, Tome 29 (1974), p. 203-207 / Harvested from Numdam
Publié le : 1974-01-01
@article{CM_1974__28_2_203_0,
     author = {Schaefer, Philip W.},
     title = {On existence in the Cauchy problem for the biharmonic equation},
     journal = {Compositio Mathematica},
     volume = {29},
     year = {1974},
     pages = {203-207},
     mrnumber = {340859},
     zbl = {0281.31004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1974__28_2_203_0}
}
Schaefer, Philip W. On existence in the Cauchy problem for the biharmonic equation. Compositio Mathematica, Tome 29 (1974) pp. 203-207. http://gdmltest.u-ga.fr/item/CM_1974__28_2_203_0/

[1] J. Hadamard: Lectures on Cauchy's problem in linear partial differential equations. Yale Univ. Press, New Haven, 1923. | JFM 49.0725.04 | Zbl 0049.34805

[2] M.M. Lavrentiev: Some improperly posed problems of mathematical physics. Springer-Verlag, New York, 1967. | Zbl 0149.41902

[3] L.E. Payne: Some general remarks on improperly posed problems for partial differential equations. Lecture Notes in Mathematics, No. 316 (1973) 1-30 Springer-Verlag, New York. | MR 410142 | Zbl 0257.35079

[4] L.E. Payne: On some non well posed problems for partial diflerential equations. Proc. Sym. Numerical Solutions Nonlinear Diff. Eq., Univ. of Wisconsin (1966) 239-263. MR 35 #4606. John Wiley and Sons. | MR 213749 | Zbl 0161.12503

[5] L.E. Payne and D. Sather: On an initial-boundary value problem for a class of degenerate elliptic operators. Ann. di Mat. Pura ed Appl. IV, 78 (1968) 323-338. MR 38 #1380. | MR 233057 | Zbl 0167.39902

[6] C. Pucci: Some topics in parabolic and elliptic equations. Lecture Ser. No. 36, Inst. Fl. Dyn. Appl. Math., College Park, Md., 1958

[7] P.W. Schaefer: On the Cauchy problem for the nonlinear biharmonic equation. J. Math. Anal. Appl. 36 (1971) 660-673. | MR 437922 | Zbl 0195.11302

[8] P.W. Schaefer: Bounds in the Cauchy problem for a fourth order quasi-linear equation. Siam J. Appl. Math., 21 (1971) 44-50. | MR 303077 | Zbl 0202.37101