Existence and uniqueness for a class of nonlinear higher-order partial differential equations in the complex plane

O Costin, S Tanveer

We prove existence and uniqueness results for nonlinear third order partial differential equations of the form $$f_t-f_{yyy}=\sum _{j=0}^3{b}_j(y,t;f)f^{(j)}+r(y,t)$$ w…