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

Zampieri, Giuseppe

A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of

ℝ^{2}

Zampieri, Giuseppe

Rendiconti del Seminario Matematico della Università di Padova, Tome 63 (1980), pp. 83-87

EuDML MR Zbl | 1 citation dans Numdam

@article{RSMUP_1980__63__83_0,
     author = {Zampieri, Giuseppe},
     title = {A sufficient condition for existence of real analytic solutions of {P.D.E.} with constant coefficients, in open sets of $\mathbb {R}^2$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {83--87},
     year = {1980},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {63},
     mrnumber = {605785},
     zbl = {0499.35021},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_1980__63__83_0/}
}

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%D 1980
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Zampieri, 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, Tome 63 (1980), pp. 83-87. https://www.numdam.org/item/RSMUP_1980__63__83_0/

Bibliographie
Cité par

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[2] K.G. Andersson, Propagation of analyticity of solutions of partial differential equations with constant coefficients, Ark. Mat., 8 (1971), pp. 277-302. | Zbl | MR

[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. | Zbl | MR

[4] L. Hörmander, Linear partial differential operators, Springer, 1963. | MR

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[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. Padova 62 (1980). | Zbl | MR | Numdam