Regularity properties of nonlinear abstract Schrödinger equations and applications
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Publication:5146663
DOI10.1142/S0129167X20501050zbMath1462.35321OpenAlexW3084342040MaRDI QIDQ5146663
Publication date: 26 January 2021
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x20501050
Spaces of vector- and operator-valued functions (46E40) Linear symmetric and selfadjoint operators (unbounded) (47B25) Initial value problems for second-order parabolic equations (35K15) Operator theory (47-XX) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (2)
SOLUTION OF BOUNDARY PROBLEMS FOR A TWO-DIMENSIONAL ELLIPTIC OPERATOR-DIFFERENTIAL EQUATION IN AN ABSTRACT HILBERT SPACE USING THE METHOD OF BOUNDARY INTEGRAL EQUATIONS ⋮ Integral type Cauchy problem for abstract wave equations and applications
Cites Work
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- On strong solutions of a Robin problem modelling heat conduction in materials with corroded boundary
- Estimates for translation invariant operators in \(L^p\) spaces
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Scattering theory in the energy space for a class of nonlinear wave equations
- Bound state solutions for a class of nonlinear Schrödinger equations
- Hardy's uncertainty principle, convexity and Schrödinger evolutions
- Solution of the Dirichlet and Neumann problems for a modified Helmholtz equation in Besov spaces on an annulus
- Linear and nonlinear abstract equations with parameters
- Semigroups of linear operators and applications to partial differential equations
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Operator-valued Fourier multiplier theorems on \(L_{p}\)(\(X\)) and geometry of Banach spaces.
- Pointwise multiplication on vector-valued function spaces with power weights
- Multidimensional periodic Schrödinger operator. Perturbation theory and applications
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Endpoint Strichartz estimates
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Analytic semigroups and optimal regularity in parabolic problems
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