Zobrazeno 1 - 10
of 37
pro vyhledávání: '"da Silva, Daniel Oliveira"'
We consider the Cauchy problem for an equation of Korteweg-de Vries-Kawahara type with initial data in the analytic Gevrey spaces. By using linear, bilinear and trilinear estimates in analytic Bourgain spaces, we establish the local well-posedness fo
Externí odkaz:
http://arxiv.org/abs/2205.10432
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2024 540(2)
We prove global well-posedness for some molecular beam epitaxy models. This requires proving some bounds on the gradient of solutions. We also obtain some global bounds on the roughness of solutions.
Externí odkaz:
http://arxiv.org/abs/2104.11495
We show that the fifth-order Kadomtsev-Petviashvili II equation is globally well-posed in an anisotropic Gevrey space, which complements earlier results on the well-posedness of this equation in anisotropic Sobolev spaces.
Externí odkaz:
http://arxiv.org/abs/2006.12859
Publikováno v:
J. Differ. Equ. 275 (2021), 234-249
We obtain an asymptotic rate of decay for the radius of spatial analyticity of solutions to the nonlinear wave equation with initial data in the analytic Gevrey spaces.
Externí odkaz:
http://arxiv.org/abs/1909.11998
We prove the existence of global analytic solutions to the nonlinear Schr\"odinger equation in one dimension for a certain type of analytic initial data in $L^2$.
Comment: Corrected errors in proofs in section 4
Comment: Corrected errors in proofs in section 4
Externí odkaz:
http://arxiv.org/abs/1903.10437
We consider some parabolic equations which are model problems for a variety of nonlinear generalizations to the Black-Scholes equation of mathematical finance. In particular, we prove local well-posedness for the Cauchy problem with initial data in $
Externí odkaz:
http://arxiv.org/abs/1812.05783
Publikováno v:
In Journal of Differential Equations 25 February 2021 275:234-249
We present estimates for the radius of analyticity of solutions to the Korteweg-de Vries equation, which improve earlier results due to Bona, Gruji\'c and Kalisch.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/1508.06116
The solution of the Chern-Simons-Higgs model in Lorenz gauge with data for the potential in $H^{s-1/2}$ and for the Higgs field in $H^s \times H^{s-1}$ is shown to be unique in the natural space $C([0,T];H^{s-1/2} \times H^s \times H^{s-1})$ for $s \
Externí odkaz:
http://arxiv.org/abs/1310.3503