id	sid	tid	token	lemma	pos
9p29086334c	1	1	it	it	PRON
9p29086334c	1	2	is	be	AUX
9p29086334c	1	3	shown	show	VERB
9p29086334c	1	4	that	that	SCONJ
9p29086334c	1	5	the	the	DET
9p29086334c	1	6	data	data	NOUN
9p29086334c	1	7	-	-	PUNCT
9p29086334c	1	8	to	to	ADP
9p29086334c	1	9	-	-	PUNCT
9p29086334c	1	10	solution	solution	NOUN
9p29086334c	1	11	map	map	NOUN
9p29086334c	1	12	for	for	ADP
9p29086334c	1	13	the	the	DET
9p29086334c	1	14	generalized	generalize	VERB
9p29086334c	1	15	reduced	reduced	ADJ
9p29086334c	1	16	ostrovsky	ostrovsky	NOUN
9p29086334c	1	17	(	(	PUNCT
9p29086334c	1	18	gro	gro	PROPN
9p29086334c	1	19	)	)	PUNCT
9p29086334c	1	20	equation	equation	NOUN
9p29086334c	1	21	is	be	AUX
9p29086334c	1	22	not	not	PART
9p29086334c	1	23	uniformly	uniformly	ADV
9p29086334c	1	24	continuous	continuous	ADJ
9p29086334c	1	25	on	on	ADP
9p29086334c	1	26	bounded	bound	VERB
9p29086334c	1	27	sets	set	NOUN
9p29086334c	1	28	in	in	ADP
9p29086334c	1	29	sobolev	sobolev	NOUN
9p29086334c	1	30	spaces	space	NOUN
9p29086334c	1	31	on	on	ADP
9p29086334c	1	32	the	the	DET
9p29086334c	1	33	circle	circle	NOUN
9p29086334c	1	34	with	with	ADP
9p29086334c	1	35	exponent	exponent	PROPN
9p29086334c	1	36	s	s	X
9p29086334c	1	37	>	>	X
9p29086334c	1	38	3/2	3/2	NUM
9p29086334c	1	39	.	.	PUNCT
9p29086334c	1	40	considering	consider	VERB
9p29086334c	1	41	that	that	PRON
9p29086334c	1	42	for	for	ADP
9p29086334c	1	43	this	this	DET
9p29086334c	1	44	range	range	NOUN
9p29086334c	1	45	of	of	ADP
9p29086334c	1	46	exponents	exponent	NOUN
9p29086334c	1	47	the	the	DET
9p29086334c	1	48	gro	gro	PROPN
9p29086334c	1	49	equation	equation	NOUN
9p29086334c	1	50	is	be	AUX
9p29086334c	1	51	well	well	ADV
9p29086334c	1	52	-	-	PUNCT
9p29086334c	1	53	posed	pose	VERB
9p29086334c	1	54	with	with	ADP
9p29086334c	1	55	continuous	continuous	ADJ
9p29086334c	1	56	dependence	dependence	NOUN
9p29086334c	1	57	on	on	ADP
9p29086334c	1	58	initial	initial	ADJ
9p29086334c	1	59	data	datum	NOUN
9p29086334c	1	60	,	,	PUNCT
9p29086334c	1	61	this	this	DET
9p29086334c	1	62	result	result	NOUN
9p29086334c	1	63	makes	make	VERB
9p29086334c	1	64	the	the	DET
9p29086334c	1	65	continuity	continuity	NOUN
9p29086334c	1	66	of	of	ADP
9p29086334c	1	67	the	the	DET
9p29086334c	1	68	solution	solution	NOUN
9p29086334c	1	69	map	map	NOUN
9p29086334c	1	70	an	an	DET
9p29086334c	1	71	optimal	optimal	ADJ
9p29086334c	1	72	property	property	NOUN
9p29086334c	1	73	.	.	PUNCT
9p29086334c	2	1	however	however	ADV
9p29086334c	2	2	,	,	PUNCT
9p29086334c	2	3	if	if	SCONJ
9p29086334c	2	4	a	a	DET
9p29086334c	2	5	weaker	weak	ADJ
9p29086334c	2	6	hrtopology	hrtopology	NOUN
9p29086334c	2	7	is	be	AUX
9p29086334c	2	8	used	use	VERB
9p29086334c	2	9	then	then	ADV
9p29086334c	2	10	it	it	PRON
9p29086334c	2	11	is	be	AUX
9p29086334c	2	12	shown	show	VERB
9p29086334c	2	13	that	that	SCONJ
9p29086334c	2	14	the	the	DET
9p29086334c	2	15	solution	solution	NOUN
9p29086334c	2	16	map	map	NOUN
9p29086334c	2	17	becomes	become	VERB
9p29086334c	2	18	hölder	hölder	PROPN
9p29086334c	2	19	continuous	continuous	ADJ
9p29086334c	2	20	in	in	ADP
9p29086334c	2	21	hs	hs	PROPN
9p29086334c	2	22	.	.	PUNCT