Nonlinear pseudo-differential equations defined by elliptic symbols on ${\lp}$ and the fractional Laplacian

Mauricio Bravo, Humberto Prado, Enrique G. Reyes

We develop an $L^p({\mathbb{R}}^n)$-functional calculus appropriated for interpreting "non-classical symbols" of the form $a(-\Delta )$, and for proving existence in $L^q({\mathbb{R}}^n)$, s…