Solution of singular and nonsingular initial and boundary value problems by modified variational iteration method.
Solutions analytiques de l'équation d'Euler d'un fluide compressible
Solvability for semilinear PDE with multiple characteristics
We prove local solvability in Gevrey spaces for a class of semilinear partial differential equations. The linear part admits characteristics of multiplicity k ≥ 2 and data are fixed in , 1 < σ < k/(k-1). The nonlinearity, containing derivatives of lower order, is assumed of class with respect to all variables.
Solvable nonlinear evolution PDEs in multidimensional space.
Some nonexistence results for higher-order evolution inequalities in cone-like domains.