Solutions hyperfonctions du problème de Cauchy
Stabilization beyond the distributions.
Sur l'unicité des solutions du problème de Cauchy pour quelques équations paraboliques
Symétrisations indépendantes du temps pour certains opérateurs du type de Schrödinger. I
Si danno condizioni sufficienti e condizioni necessarie affinché il problema di Cauchy per alcuni operatori di tipo Schrödinger sia ben posto in spazi di Sobolev. Gli operatori qui considerati sono operatori di Schrödinger con potenziali vettoriali complessi, una generalizzazione degli operatori di 2-evoluzione nel senso di Petrowsky, e alcuni sistemi tipo Leray-Volevich di operatori lineari a derivate parziali. Il metodo che usiamo in questo articolo è la simmetrizazione degli operatori non dipendenti...
Systèmes micro-hyperboliques
The Cauchy problem for one class of parabolic pseudodifferential systems with nonsmooth symbols.
The geometric optics for a class of hyperbolic second order operators with Hölder continuous coefficients with respect to time
Unicité pour le problème de Cauchy à partir d'une surface partout caractéristique ; applications
Uniform estimates for a class of evolution equations
Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s
Mathematics Subject Classification 2010: 26A33, 33E12, 35S10, 45K05.We give the proofs of the existence and regularity of the solutions in the space C^∞ (t > 0;H^(s+2) (R^n)) ∩ C^0(t ≧ 0;H^s(R^n)); s ∊ R, for the 1-term, 2-term,..., n-term time-fractional equation evaluated from the time fractional equation of distributed order with spatial Laplace operator Δx ...
Well-Posedness of the Cauchy Problem for Inhomogeneous Time-Fractional Pseudo-Differential Equations
Mathematics Subject Classification: 26A33, 45K05, 35A05, 35S10, 35S15, 33E12In the present paper the Cauchy problem for partial inhomogeneous pseudo-differential equations of fractional order is analyzed. The solvability theorem for the Cauchy problem in the space ΨG,2(R^n) of functions in L2(R^n) whose Fourier transforms are compactly supported in a domain G ⊆ R^n is proved. The representation of the solution in terms of pseudo-differential operators is given. The solvability theorem in the Sobolev...
Алгебра символов Вейля и задачи Коши для регулярных символов
Задача Коши для полулинейного волнового уравнения. II.
Задача Коши для полулинейного волнового уравнения. III.
Оценки норм в пространстве в пространствах Бесова и Лизоркина-Трибеля для решений линейных гиперболических уравнений второго порядка
Построение и исследование классических фундаментальных решений задачи Коши равномерно параболических псевдодифференциальных уравнений
Условия корректности в классах Жевре задачи Коши для нестрого гиперболических операторов.