Nonlinear Evolution Equations of Soboley-Galpern Type.
Nonlinear perturbations of linear elliptic and parabolic problems at resonance : existence of multiple solutions
Non-Uniqueness and Uniqueness in the Cauchy Problem at Simple Characteristic Points.
Normale Auflösbarkeit bei linearen partiellen Differentialoperatoren in lokalen gewichteten Sobolevräumen.
On evolution inequalities of a modified Navier-Stokes type. I
The paper present an existence theorem for a strong solution to an abstract evolution inequality where the properties of the operators involved are motivated by a type of modified Navier-Stokes equations under certain unilateral boundary conditions. The method of proof rests upon a Galerkin type argument combined with the regularization of the functional.
On Gardings inequality.
On generalized differential equations in Banach spaces [Book]
On Pseudo-monotone Operators and Nonlinear Noncoercive Variational Problems on Unbounded Domains.
On Signorini problem for von Kármán equations
On Signorini problem for von Kármán equations. The case of angular domain
The paper deals with the generalized Signorini problem. The used method of pseudomonotone semicoercive operator inequality is introduced in the paper by O. John. The existence result for smooth domains from the paper by O. John is extended to technically significant "angular" domains. The crucial point of the proof is the estimation of the nonlinear term which appears in the operator form of the problem. The substantial technical difficulties connected with non-smoothness of the boundary are overcome...
On the approximation of elliptic operators with discontinuous coefficients
On the Cauchy problem for linear partial differential-functional equations of first order
On the convergence of gelerkin approximations
On the existence of solutions of the Darboux problem for the hyperbolic partial differential equations in Banach spaces
On the initial value problem for a partial differential equation with operator coefficients.
On the one class of hyperbolic systems.
On the S-matrix for Schrödinger operators with long-range potentials.
On the solvability of von Kármán equations
On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics
Opérateurs différentiels d'ordre infini dans des espaces de fonctions entières