Complex interpolation with Dirichlet boundary conditions on the half line
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DOI: 10.1002/mana.201700204
Abstract: We prove results on complex interpolation of vector-valued Sobolev spaces over the half-line with Dirichlet boundary condition. Motivated by applications in evolution equations, the results are presented for Banach space-valued Sobolev spaces with a power… read more here.
Keywords: half line; dirichlet boundary; complex interpolation; line ... See more keywords
Asymptotic behavior of solutions of a model derived from the 1-D Keller–Segel model on the half line
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DOI: 10.1002/mma.4189
Abstract: In this paper, we are interested in a model derived from the 1-D Keller-Segel model on the half line x > as follows: ut−lux−uxx=−β(uvx)x,x>0,t>0,λv−vxx=u,x>0,t>0,lu(0,t)+ux(0,t)=vx(0,t)=0,t>0,u(x,0)=u0(x),x>0, where l is a constant. Under the conserved boundary condition, we study… read more here.
Keywords: model derived; model half; half line; segel model ... See more keywords
The transmutation operator method for efficient solution of the inverse Sturm‐Liouville problem on a half‐line
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DOI: 10.1002/mma.5854
Abstract: The inverse Sturm‐Liouville problem on a half‐line is considered. With the aid of a Fourier‐Legendre series representation of the transmutation integral kernel and the Gel'fand‐Levitan equation, the numerical solution of the problem is reduced to… read more here.
Keywords: half line; inverse sturm; problem; problem half ... See more keywords
Admissible Banach function spaces for linear dynamics with nonuniform behavior on the half-line
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DOI: 10.1007/s00233-018-9985-7
Abstract: For nonuniform exponentially bounded evolution families on the half-line, we introduce a special class of Banach function spaces, on which we define certain $$C_{0}$$C0-semigroups. We characterize the existence of nonuniform exponential stability in terms of… read more here.
Keywords: half line; nonuniform behavior; banach function; function spaces ... See more keywords
Nikol’skii Inequality Between the Uniform Norm and Integral Norm with Bessel Weight for Entire Functions of Exponential Type on the Half-Line
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DOI: 10.1007/s10476-018-0103-6
Abstract: We study a Nikol’skii type inequality for even entire functions of given exponential type between the uniform norm on the half-line [0,∞) and the norm (∫0∞|f(x)|qx2α+1dx)1/q of the space Lq((0,∞), x2α+1) with the Bessel weight… read more here.
Keywords: half line; nikol skii; uniform norm; norm ... See more keywords
Trace formulas for Schrödinger operators with complex potentials on a half line
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DOI: 10.1007/s11005-019-01210-x
Abstract: We consider Schrödinger operators with complex-valued decaying potentials on the half line. Such operator has essential spectrum on the half line plus eigenvalues (counted with algebraic multiplicity) in the complex plane without the positive half… read more here.
Keywords: operators complex; line; half line; dinger operators ... See more keywords
Kolmogorov-Type Inequalities for the Norms of Fractional Derivatives of Functions Defined on the Positive Half Line
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DOI: 10.1007/s11253-021-01873-7
Abstract: We obtain new Kolmogorov-type sharp inequalities estimating the norm of the Marchaud fractional derivative $$ {\left\Vert {D}_{-}^kf\right\Vert}_{\infty } $$ of a function f defined on the positive half line in terms of ‖f‖p, 1 read more here.
Keywords: half line; defined positive; kolmogorov type; positive half ... See more keywords
Inverse resonance scattering for Dirac operators on the half-line
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DOI: 10.1007/s13324-020-00453-5
Abstract: We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including characterization). We study resonances as zeros of Jost function… read more here.
Keywords: resonance; half line; dirac operators; operators half ... See more keywords
On a third-order boundary value problem at resonance on the half-line
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DOI: 10.1007/s40065-018-0209-5
Abstract: In this paper, we establish existence of solutions for the following boundary value problem on the half-line: $$(q(t)u''(t))' = g(t, u(t), u'(t), u''(t)),\;\;\; t \in (0, \infty )$$(q(t)u′′(t))′=g(t,u(t),u′(t),u′′(t)),t∈(0,∞) subject to the boundary conditions $$ u'(0)… read more here.
Keywords: value problem; half line; boundary value;
Differential inclusions with state-dependent impulses on the half-line: New Fréchet space of functions and structure of solution sets
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DOI: 10.1016/j.jmaa.2016.09.046
Abstract: Abstract An R δ -structure of solution sets to some classes of impulsive differential inclusions with variable impulse times on the half-line is shown. Sufficient conditions on barriers are discussed in detail. They imply two… read more here.
Keywords: half line; differential inclusions; structure solution; solution sets ... See more keywords
Riemann-Hilbert problem for a fourth-order dispersive nonlinear Schrödinger equation on the half-line
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DOI: 10.1016/j.jmaa.2020.124078
Abstract: Abstract In this paper, we investigate a fourth-order dispersive nonlinear Schrodinger equation on the half-line, which has the physical applications in Heisenberg ferromagnetic spin. Solutions for this equation are expressed in form of the unique… read more here.
Keywords: riemann hilbert; order dispersive; half line; dispersive nonlinear ... See more keywords