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Can I read Local Solvability for Nonlinear Partial Differential Equations on EtoBox?
Local Solvability for Nonlinear Partial Differential Equations by F. Messina; L. Rodino is a Mathematics article available to read on EtoBox.
What is Local Solvability for Nonlinear Partial Differential Equations about?
In the introduction we give a short survey on known results concerning local solvability for nonlinear partial differential equations; the next sections will be then devoted to the proof of a new result in the same direction. Specifically we study the semilinear operator \(F(u)=P(D) u+f\left(x, Q_{1}(D) u, \ldots, Q_{M}(D) u\right)\) where \(P, Q_{1}, \ldots, Q_{M}\) are linear partial differential operators with constant coefficients and \(f(x, v), x \in \mathbb{R}^{n}\), \(v \in \mathbb{C}^{M}\), is a smooth function with respect to \(x\) and entire with respect to \(v\). Let \(g\) be in the Hörmander space \(B_{p, k}\) we want to solve locally near a point \(x^{0} \in \mathbb{R}^{n}\) the equation \(F(u)=g\).
Who reads Local Solvability for Nonlinear Partial Differential Equations?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- F. Messina; L. Rodino
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0362-546X)
- Published
- 2001
- Language
- EN
- Field
- Mathematics (Physical Sciences)