id sid tid token lemma pos 5q47rn31z1r 1 1 we we PRON 5q47rn31z1r 1 2 consider consider VERB 5q47rn31z1r 1 3 the the DET 5q47rn31z1r 1 4 higher high ADJ 5q47rn31z1r 1 5 order order NOUN 5q47rn31z1r 1 6 mkdv mkdv ADJ 5q47rn31z1r 1 7 equation equation NOUN 5q47rn31z1r 1 8 , , PUNCT 5q47rn31z1r 1 9 so so SCONJ 5q47rn31z1r 1 10 that that SCONJ 5q47rn31z1r 1 11 we we PRON 5q47rn31z1r 1 12 are be AUX 5q47rn31z1r 1 13 examining examine VERB 5q47rn31z1r 1 14 those those DET 5q47rn31z1r 1 15 equations equation NOUN 5q47rn31z1r 1 16 with with ADP 5q47rn31z1r 1 17 a a DET 5q47rn31z1r 1 18 higher high ADJ 5q47rn31z1r 1 19 dispersion dispersion NOUN 5q47rn31z1r 1 20 term term NOUN 5q47rn31z1r 1 21 of of ADP 5q47rn31z1r 1 22 the the DET 5q47rn31z1r 1 23 order order NOUN 5q47rn31z1r 1 24 m m NOUN 5q47rn31z1r 1 25 , , PUNCT 5q47rn31z1r 1 26 where where SCONJ 5q47rn31z1r 1 27 m m VERB 5q47rn31z1r 1 28 is be AUX 5q47rn31z1r 1 29 odd odd ADJ 5q47rn31z1r 1 30 and and CCONJ 5q47rn31z1r 1 31 larger large ADJ 5q47rn31z1r 1 32 than than ADP 5q47rn31z1r 1 33 3 3 NUM 5q47rn31z1r 1 34 . . PUNCT 5q47rn31z1r 2 1 the the DET 5q47rn31z1r 2 2 corresponding correspond VERB 5q47rn31z1r 2 3 periodic periodic ADJ 5q47rn31z1r 2 4 cauchy cauchy ADJ 5q47rn31z1r 2 5 problem problem NOUN 5q47rn31z1r 2 6 is be AUX 5q47rn31z1r 2 7 in in ADP 5q47rn31z1r 2 8 fact fact NOUN 5q47rn31z1r 2 9 well well ADV 5q47rn31z1r 2 10 - - PUNCT 5q47rn31z1r 2 11 posed pose VERB 5q47rn31z1r 2 12 in in ADP 5q47rn31z1r 2 13 sobolev sobolev NOUN 5q47rn31z1r 2 14 spaces space NOUN 5q47rn31z1r 2 15 for for ADP 5q47rn31z1r 2 16 all all PRON 5q47rn31z1r 2 17 s s X 5q47rn31z1r 2 18 ge ge PROPN 5q47rn31z1r 2 19 1/2 1/2 NUM 5q47rn31z1r 2 20 . . PUNCT 5q47rn31z1r 3 1 we we PRON 5q47rn31z1r 3 2 then then ADV 5q47rn31z1r 3 3 show show VERB 5q47rn31z1r 3 4 that that SCONJ 5q47rn31z1r 3 5 the the DET 5q47rn31z1r 3 6 solution solution NOUN 5q47rn31z1r 3 7 to to ADP 5q47rn31z1r 3 8 the the DET 5q47rn31z1r 3 9 periodic periodic ADJ 5q47rn31z1r 3 10 cauchy cauchy ADJ 5q47rn31z1r 3 11 problem problem NOUN 5q47rn31z1r 3 12 for for ADP 5q47rn31z1r 3 13 this this DET 5q47rn31z1r 3 14 higher high ADJ 5q47rn31z1r 3 15 order order NOUN 5q47rn31z1r 3 16 equation equation NOUN 5q47rn31z1r 3 17 with with ADP 5q47rn31z1r 3 18 analytic analytic ADJ 5q47rn31z1r 3 19 initial initial ADJ 5q47rn31z1r 3 20 data datum NOUN 5q47rn31z1r 3 21 is be AUX 5q47rn31z1r 3 22 analytic analytic ADJ 5q47rn31z1r 3 23 in in ADP 5q47rn31z1r 3 24 the the DET 5q47rn31z1r 3 25 space space NOUN 5q47rn31z1r 3 26 variable variable NOUN 5q47rn31z1r 3 27 x x PUNCT 5q47rn31z1r 3 28 at at ADP 5q47rn31z1r 3 29 any any DET 5q47rn31z1r 3 30 fixed fix VERB 5q47rn31z1r 3 31 time time NOUN 5q47rn31z1r 3 32 t t NOUN 5q47rn31z1r 3 33 near near ADP 5q47rn31z1r 3 34 time time NOUN 5q47rn31z1r 3 35 zero zero NUM 5q47rn31z1r 3 36 . . PUNCT 5q47rn31z1r 4 1 however however ADV 5q47rn31z1r 4 2 , , PUNCT 5q47rn31z1r 4 3 while while SCONJ 5q47rn31z1r 4 4 this this DET 5q47rn31z1r 4 5 analyticity analyticity NOUN 5q47rn31z1r 4 6 is be AUX 5q47rn31z1r 4 7 not not PART 5q47rn31z1r 4 8 guaranteed guarantee VERB 5q47rn31z1r 4 9 in in ADP 5q47rn31z1r 4 10 t t PROPN 5q47rn31z1r 4 11 , , PUNCT 5q47rn31z1r 4 12 the the DET 5q47rn31z1r 4 13 solution solution NOUN 5q47rn31z1r 4 14 does do AUX 5q47rn31z1r 4 15 have have VERB 5q47rn31z1r 4 16 gevrey gevrey NOUN 5q47rn31z1r 4 17 - - PUNCT 5q47rn31z1r 4 18 m m NOUN 5q47rn31z1r 4 19 regularity regularity NOUN 5q47rn31z1r 4 20 with with ADP 5q47rn31z1r 4 21 respect respect NOUN 5q47rn31z1r 4 22 to to ADP 5q47rn31z1r 4 23 the the DET 5q47rn31z1r 4 24 time time NOUN 5q47rn31z1r 4 25 variable variable ADJ 5q47rn31z1r 4 26 t. t. NOUN