Search Results - "Himonas, A. Alexandrou"

THE NONLINEAR SCHRÖDINGER EQUATION ON THE HALF-LINE by FOKAS, ATHANASSIOS S., HIMONAS, A. ALEXANDROU, MANTZAVINOS, DIONYSSIOS

“…The initial-boundary value problem (ibvp) for the cubic nonlinear Schrödinger (NLS) equation on the half-line with data in Sobolev spaces is analysed via the…”
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Non-Uniform Dependence for the Periodic CH Equation by Alexandrou Himonas, A., Kenig, Carlos, Misiołek, Gerard

“…We show that the solution map of the periodic CH equation is not uniformly continuous in Sobolev spaces with exponent greater than 3/2. This extends earlier…”
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The Cauchy problem for the Fokas–Olver–Rosenau–Qiao equation by Alexandrou Himonas, A., Mantzavinos, Dionyssios

“…It is shown that the initial value problem for the Fokas–Olver–Rosenau–Qiao equation (FORQ) is well-posed in Sobolev spaces Hs, s>5/2, in the sense of…”
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Lower bounds on the radius of analyticity for a system of modified KdV equations by Figueira, Renata O., Himonas, A. Alexandrou

“…The initial value problem for a system of modified Korteweg-deVries equations with data that are analytic on R and having uniform radius of analyticity r0 is…”
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On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation by Himonas, A. Alexandrou, Kalisch, Henrik, Selberg, Sigmund

“…Persistence of spatial analyticity is studied for periodic solutions of the dispersion-generalized KdV equation ut−|Dx|αux+uux=0 for α≥2. For a class of…”
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An ab-family of equations with peakon traveling waves by Himonas, A. Alexandrou, Mantzavinos, Dionyssios

“…Peakon traveling wave solutions, both on the line and on the circle, are derived for a novel ab-family of nonlocal evolution equations with cubic…”
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Instability and Nonuniqueness for the b-Novikov Equation by Himonas, A. Alexandrou, Holliman, Curtis

“…The b -Novikov equation is a one-parameter family of Camassa–Holm-type equations with cubic nonlinearities that possess multipeakon traveling wave solutions…”
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Real-valued non-analytic solutions for the generalized Korteweg-de Vries equation by HIMONAS, A. ALEXANDROU, PETRONILHO, GERSON

“…In both the periodic and non-periodic cases, non-analytic in time solutions to the Cauchy problem of the gKdV equation are constructed with real-valued…”
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A higher dispersion KdV equation on the line by Figueira, Renata, Himonas, A. Alexandrou, Yan, Fangchi

“…The Cauchy problem for a Korteweg–deVries equation with dispersion of order m=2j+1, where j is a positive integer, (KdVm), is studied with data in Sobolev and…”
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On Well-Posedness of Nonlocal Evolution Equations by Himonas, A. Alexandrou, Yan, Fangchi

“…This work studies questions of existence, uniqueness, dependence on initial data, and regularity of solutions to the Cauchy problem for nonlocal evolution…”
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Persistence properties and unique continuation of solutions of the camassa-holm equation by ALEXANDROU HIMONAS, A, MISIOŁEK, Gerard, PONCE, Gustavo, YONG ZHOU

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The nonlinear Schrödinger equation on the half-line with a Robin boundary condition by Himonas, A. Alexandrou, Mantzavinos, Dionyssios

“…The initial-boundary value problem for the nonlinear Schrödinger equation on the half-line with initial data in Sobolev spaces H s ( 0 , ∞ ) , 1 / 2 < s ⩽ 5 /…”
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Global analyticity for a generalized Camassa–Holm equation and decay of the radius of spatial analyticity by Barostichi, Rafael F., Himonas, A. Alexandrou, Petronilho, Gerson

“…Global analytic solution in both the time and the space variables is proved for the Cauchy problem of a generalized CH equation, which contains as its members…”
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Ill-Posedness for the b-Family of Equations by Himonas, A. Alexandrou, Grayshan, Katelyn, Holliman, Curtis

“…For s < 3 / 2 , it is shown that the Cauchy problem for the b -family of equations is ill-posed in Sobolev spaces H s on both the torus and the line when b > 1…”
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The Cauchy problem for a 4-parameter family of equations with peakon traveling waves by Alexandrou Himonas, A., Mantzavinos, Dionyssios

“…The initial value problem for a novel 4-parameter family of evolution equations, which are nonlinear and nonlocal and possess peakon traveling wave solutions,…”
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The power series method for nonlocal and nonlinear evolution equations by Barostichi, Rafael F., Himonas, A. Alexandrou, Petronilho, Gerson

“…The initial value problem for a 4-parameter family of nonlocal and nonlinear evolution equations with data in a space of analytic functions is solved by using…”
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The modified KdV equation with higher dispersion in Sobolev and analytic spaces on the line by Barostichi, Rafael, Figueira, Renata O., Himonas, A. Alexandrou

“…This paper studies the Cauchy problem on the line for the modified Korteweg–deVries equation whose dispersion is of order m = 2 j + 1 , where j ≥ 2 is a…”
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Norm Inflation and Ill-Posedness for the Degasperis-Procesi Equation by Himonas, A. Alexandrou, Holliman, Curtis, Grayshan, Katelyn

“…For s < 3/2, it is shown that the Cauchy problem for the Degasperis-Procesi equation (DP) is ill-posed in Sobolev spaces H s . If 1/2 ≤ s < 3/2, then…”
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Analyticity in partial differential equations by Himonas, A. Alexandrou, Petronilho, Gerson

“…Here we shall discuss analyticity results for several important partial differential equations. This includes the analytic regularity of sub-Laplacians under…”
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On the Initial-Boundary Value Problem for the Linearized Boussinesq Equation by Himonas, A. Alexandrou, Mantzavinos, Dionyssios

“…This work is concerned with the initial‐boundary value problem for the Boussinesq equation. By employing the unified transform method of Fokas, novel solution…”
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