24,738 research outputs found

    5-({3-[(5-Amino-1,3,4-thia­diazol-2-yl)sulfanylmeth­yl]benz­yl}sulfan­yl)-1,3,4-thia­diazol-2-amine

    Get PDF
    In the title compound, C12H12N6S4, the two terminal thia­diazole rings are twisted with respect to the central benzene ring, making dihedral angles of 54.28 (4) and 76.56 (3)°. The dihedral angle between the two thia­diazole rings is 27.77 (4)°. Inter­molecular N—H⋯N hydrogen bonds stabilize the crystal packing, linking the mol­ecules into a tape along the b axis

    Elliptic systems with measurable coefficients of the type of Lam\'e system in three dimensions

    Get PDF
    We study the 3×33 \times 3 elliptic systems ∇×(a(x)∇×u)−∇(b(x)∇⋅u)=f\nabla \times (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f, where the coefficients a(x)a(x) and b(x)b(x) are positive scalar functions that are measurable and bounded away from zero and infinity. We prove that weak solutions of the above system are H\"older continuous under some minimal conditions on the inhomogeneous term ff. We also present some applications and discuss several related topics including estimates of the Green's functions and the heat kernels of the above systems.Comment: Proof of Theorem 3.1 is correcte
    • …
    corecore