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Abstract Let L = ∂ / ∂ t + ∑ j = 1 N ( a j + i b j ) ( t ) ∂ / ∂ x j… Click to show full abstract
Abstract Let L = ∂ / ∂ t + ∑ j = 1 N ( a j + i b j ) ( t ) ∂ / ∂ x j be a vector field defined on the torus T N + 1 ≃ R N + 1 / 2 π Z N + 1 , where a j , b j are real-valued functions and belonging to the Gevrey class G s ( T 1 ) , s > 1 , for j = 1 , … , N . We present a complete characterization for the s-global solvability and s-global hypoellipticity of L. Our results are linked to Diophantine properties of the coefficients and, also, connectedness of certain sublevel sets.
Keywords:
solvability global;
global solvability;
global hypoellipticity;
hypoellipticity gevrey
Journal Title: Journal of Differential Equations
Year Published: 2018
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Journal Title: Journal of Differential Equations
Year Published: 2018
Link to full text (if available)
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recommendations!