Local solvability of constant coefficient partial differential equations as a small divisor problem
نویسندگان
چکیده
منابع مشابه
F. Messina LOCAL SOLVABILITY FOR SEMILINEAR PARTIAL DIFFERENTIAL EQUATIONS OF CONSTANT STRENGTH
The main goal of the present paper is to study the local solvability of semilnear partial differential operators of the form F(u) = P(D)u + f (x, Q1(D)u, ......, QM (D)u), where P(D), Q1(D), ..., QM (D) are linear partial differntial operators of constant coefficients and f (x, v) is a C∞ function with respect to x and an entire function with respect to v. Under suitable assumptions on the nonl...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1981
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1981-0603601-9