Hypoellipticity of Nonlinear Partial Differential Equations
Copyright policy )Hypoellipticity of Nonlinear Partial Differential Equations
Summary: We study the hypoellipticity problems for fully nonlinear partial differential equations of order \(m\). For a solution \(u \in C^ \rho_{\text{loc}} (\Omega)\), if the linearized operator on \(u\) satisfies some subelliptic conditions, we can deduce \(u \in C^ \infty (\Omega)\) by using the paradifferential operator theory of J.-M. Bony.
Hypoelliptic equations, Smoothness and regularity of solutions to PDEs, fully nonlinear partial differential equations of order \(m\), hypoellipticity, Paradifferential operators as generalizations of partial differential operators in context of PDEs, para-linearization, paradifferential operator
Hypoelliptic equations, Smoothness and regularity of solutions to PDEs, fully nonlinear partial differential equations of order \(m\), hypoellipticity, Paradifferential operators as generalizations of partial differential operators in context of PDEs, para-linearization, paradifferential operator
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