# On existence in the Cauchy problem for the biharmonic equation

Compositio Mathematica (1974)

- Volume: 28, Issue: 2, page 203-207
- ISSN: 0010-437X

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topSchaefer, Philip W.. "On existence in the Cauchy problem for the biharmonic equation." Compositio Mathematica 28.2 (1974): 203-207. <http://eudml.org/doc/89209>.

@article{Schaefer1974,

author = {Schaefer, Philip W.},

journal = {Compositio Mathematica},

language = {eng},

number = {2},

pages = {203-207},

publisher = {Noordhoff International Publishing},

title = {On existence in the Cauchy problem for the biharmonic equation},

url = {http://eudml.org/doc/89209},

volume = {28},

year = {1974},

}

TY - JOUR

AU - Schaefer, Philip W.

TI - On existence in the Cauchy problem for the biharmonic equation

JO - Compositio Mathematica

PY - 1974

PB - Noordhoff International Publishing

VL - 28

IS - 2

SP - 203

EP - 207

LA - eng

UR - http://eudml.org/doc/89209

ER -

## References

top- [1] J. Hadamard: Lectures on Cauchy's problem in linear partial differential equations. Yale Univ. Press, New Haven, 1923. Zbl0049.34805JFM49.0725.04
- [2] M.M. Lavrentiev: Some improperly posed problems of mathematical physics. Springer-Verlag, New York, 1967. Zbl0149.41902
- [3] L.E. Payne: Some general remarks on improperly posed problems for partial differential equations. Lecture Notes in Mathematics, No. 316 (1973) 1-30Springer-Verlag, New York. Zbl0257.35079MR410142
- [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. Zbl0161.12503MR213749
- [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. Zbl0167.39902MR233057
- [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. Zbl0195.11302MR437922
- [8] P.W. Schaefer: Bounds in the Cauchy problem for a fourth order quasi-linear equation. Siam J. Appl. Math., 21 (1971) 44-50. Zbl0202.37101MR303077

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