# A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of ${\mathbb{R}}^{2}$

Rendiconti del Seminario Matematico della Università di Padova (1980)

- Volume: 63, page 83-87
- ISSN: 0041-8994

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topZampieri, Giuseppe. "A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of $\mathbb {R}^2$." Rendiconti del Seminario Matematico della Università di Padova 63 (1980): 83-87. <http://eudml.org/doc/107782>.

@article{Zampieri1980,

author = {Zampieri, Giuseppe},

journal = {Rendiconti del Seminario Matematico della Università di Padova},

keywords = {existence; real analytic solutions; p-convexity; descent method},

language = {eng},

pages = {83-87},

publisher = {Seminario Matematico of the University of Padua},

title = {A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of $\mathbb \{R\}^2$},

url = {http://eudml.org/doc/107782},

volume = {63},

year = {1980},

}

TY - JOUR

AU - Zampieri, Giuseppe

TI - A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of $\mathbb {R}^2$

JO - Rendiconti del Seminario Matematico della Università di Padova

PY - 1980

PB - Seminario Matematico of the University of Padua

VL - 63

SP - 83

EP - 87

LA - eng

KW - existence; real analytic solutions; p-convexity; descent method

UR - http://eudml.org/doc/107782

ER -

## References

top- [1] K.G. Andersson, Global solvability of differential equations in the space of real analytic functions, Coll. on Analysis, Rio de Janeiro, 1972, Analyse fonctionelle, Hermann, 1974. Zbl0307.35017MR390466
- [2] K.G. Andersson, Propagation of analyticity of solutions of partial differential equations with constant coefficients, Ark. Mat., 8 (1971), pp. 277-302. Zbl0211.40502MR299938
- [3] L. Cattabriga, Sull'esistenza di soluzioni analitiche reali di equazioni a derivate parziali a coefficienti costanti, Boll. U.M.I. (4), 12 (1975), pp. 221-234. Zbl0328.35009MR509089
- [4] L. Hörmander, Linear partial differential operators, Springer, 1963. MR404822
- [5] T. Kawai, On the global existence of real analytic solutions of linear differential equations (I), J. Math. Soc. Japan, 24 (1972), pp. 481-517. Zbl0234.35012MR310412
- [6] G. Zampieri, On some conjectures by E. De Giorgi relative to the global resolvability of overdetermined systems of differential equations, Rend. Sem. Mat. Univ. Padova62 (1980). Zbl0452.35089MR582945

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