Abstract
An interpolation inequality for the total variation of the gradient of a composite function is derived by applying the coarea formula. A bound for the pressure integral is studied by establishing ana priori estimate for a solution of the Grad-Shafranov equation of plasma equilibrium. A weak formulation of the Grad-Shafranov equation is given to include singular current profiles.
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Giga, Y., Yoshida, Z. A bound for the pressure integral in a plasma equilibrium. J Stat Phys 72, 1375–1389 (1993). https://doi.org/10.1007/BF01048191
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DOI: https://doi.org/10.1007/BF01048191