Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up
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DOI: 10.1007/s00208-022-02396-7
Abstract: In the first part of this work we study the local well-posedness of dispersive equations in the weighted spaces H(R) ∩ L(|x|dx). We then apply our results for several dispersive models such as the Hirota-Satsuma… read more here.
Keywords: weighted sobolev; dispersive blow; dispersive equations; local well ... See more keywords
Approximation Characteristics of Weighted Sobolev Spaces on Sphere in Different Settings
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DOI: 10.3390/axioms14010042
Abstract: This article primarily examines the approximation properties of a weighted Sobolev space W2,κr defined on a sphere Sd−1 equipped with Gaussian measures. Specifically, this study focuses on both the average case and probabilistic case settings.… read more here.
Keywords: spaces sphere; approximation characteristics; weighted sobolev; sobolev spaces ... See more keywords
On the Study of Nonlinear Capillarity Models Through Weighted Sobolev Spaces with Dirichlet Boundary Conditions
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DOI: 10.3390/math13203353
Abstract: We prove in this paper some existence and uniqueness results of weak solutions for some nonlinear degenerate parabolic problems arising from capillarity phenomena with the Dirichlet type boundary condition. read more here.
Keywords: nonlinear capillarity; weighted sobolev; capillarity models; capillarity ... See more keywords
Weighted Sobolev-Morrey Estimates for Nondivergence Degenerate Operators with Drift on Homogeneous Groups
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DOI: 10.3390/sym13112061
Abstract: Let X0,X1,…,Xq(q read more here.
Keywords: sobolev morrey; weighted sobolev; estimates nondivergence; nondivergence degenerate ... See more keywords