Solution of a spectral problem for the curl operator on a cylinder.
Solutions analytiques et hyperfonctions du problème de Cauchy pour les opérateurs hyperboliques non stricts
Solvability conditions for elliptic problems with non-Fredholm operators
The paper is devoted to solvability conditions for linear elliptic problems with non-Fredholm operators. We show that the operator becomes normally solvable with a finite-dimensional kernel on properly chosen subspaces. In the particular case of a scalar equation we obtain necessary and sufficient solvability conditions. These results are used to apply the implicit function theorem for a nonlinear elliptic problem; we demonstrate the persistence of travelling wave solutions to spatially periodic...
Solvability of linear and semilinear eigenvalue problems with data
Some estimates of Schrödinger-type operators with certain nonnegative potentials.
Some generic properties of nonlinear second order diffusional type problem
We are interested of the Newton type mixed problem for the general second order semilinear evolution equation. Applying Nikolskij’s decomposition theorem and general Fredholm operator theory results, the present paper yields sufficient conditions for generic properties, surjectivity and bifurcation sets of the given problem.
Some remarks on infinite-dimensional nonlinear elliptic problems.
Some results on elliptic and parabolic equations in Hilbert spaces
We consider elliptic and parabolic equations with infinitely many variables. We prove some results of existence, uniqueness and regularity of solutions.
Some Uniqueness and Growth Theorems in the Cauchy Problem for P utt + M ut + Nu = 0 in Hilbert Space.
Spectral analysis and synthesis
Spectral analysis of non-self-adjoint elliptic operators
Spectral analysis of relativistic atoms -- Dirac operators with singular potentials.
Spectral asymptotics of Laplace operators on surfaces with cusps.
Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Spectral theory and Cauchy problems on Lp spaces.
Spectral Theory of the Dirac Operator.
Spectre conjoint d'opérateurs pseudo-différentiels qui commutent.
Spectre d'ordre supérieur et problèmes aux limites quasi-linéaires
Nello studio dei problemi del tipo , si impongono generalmente delle condizione sul comportamento asintotico di rispetto allo spettro di . Avendo in vista dei problemi quasilineari del tipo , sembra naturale introdurre una nozione di spettro per che tenga conto della dipendenza del membro di destra rispetto al gradiende . L'oggetto di questo lavoro è di definire, studiare e applicare questa nuova nozione di spettro.
Stability of coupled systems.
Stabilizing influence of a Skew-symmetric operator in semilinear parabolic equation