id	sid	tid	token	lemma	pos
gh93gx43s3t	1	1	for	for	ADP
gh93gx43s3t	1	2	sobolev	sobolev	PROPN
gh93gx43s3t	1	3	exponent	exponent	PROPN
gh93gx43s3t	1	4	s	s	VERB
gh93gx43s3t	1	5	>	>	X
gh93gx43s3t	1	6	5=2	5=2	NUM
gh93gx43s3t	1	7	,	,	PUNCT
gh93gx43s3t	1	8	it	it	PRON
gh93gx43s3t	1	9	is	be	AUX
gh93gx43s3t	1	10	shown	show	VERB
gh93gx43s3t	1	11	that	that	SCONJ
gh93gx43s3t	1	12	the	the	DET
gh93gx43s3t	1	13	data	data	NOUN
gh93gx43s3t	1	14	-	-	PUNCT
gh93gx43s3t	1	15	to	to	ADP
gh93gx43s3t	1	16	-	-	PUNCT
gh93gx43s3t	1	17	solution	solution	NOUN
gh93gx43s3t	1	18	map	map	NOUN
gh93gx43s3t	1	19	for	for	ADP
gh93gx43s3t	1	20	the2	the2	PROPN
gh93gx43s3t	1	21	-	-	PUNCT
gh93gx43s3t	1	22	component	component	NOUN
gh93gx43s3t	1	23	camassa	camassa	ADJ
gh93gx43s3t	1	24	-	-	PUNCT
gh93gx43s3t	1	25	holm	holm	NOUN
gh93gx43s3t	1	26	system	system	NOUN
gh93gx43s3t	1	27	is	be	AUX
gh93gx43s3t	1	28	continuous	continuous	ADJ
gh93gx43s3t	1	29	from	from	ADP
gh93gx43s3t	1	30	hs	hs	X
gh93gx43s3t	1	31	x	x	X
gh93gx43s3t	1	32	hs􀀀-1	hs􀀀-1	PROPN
gh93gx43s3t	1	33	into	into	ADP
gh93gx43s3t	1	34	c([0	c([0	SPACE
gh93gx43s3t	1	35	;	;	PUNCT
gh93gx43s3t	1	36	t];hs	t];hs	PROPN
gh93gx43s3t	1	37	x	x	SYM
gh93gx43s3t	1	38	hs􀀀-1	hs􀀀-1	NUM
gh93gx43s3t	1	39	)	)	PUNCT
gh93gx43s3t	1	40	but	but	CCONJ
gh93gx43s3t	1	41	not	not	PART
gh93gx43s3t	1	42	uniformly	uniformly	ADV
gh93gx43s3t	1	43	continuous	continuous	ADJ
gh93gx43s3t	1	44	.	.	PUNCT
gh93gx43s3t	2	1	the	the	DET
gh93gx43s3t	2	2	proof	proof	NOUN
gh93gx43s3t	2	3	of	of	ADP
gh93gx43s3t	2	4	non	non	ADJ
gh93gx43s3t	2	5	-	-	ADJ
gh93gx43s3t	2	6	uniform	uniform	ADJ
gh93gx43s3t	2	7	dependence	dependence	NOUN
gh93gx43s3t	2	8	on	on	ADP
gh93gx43s3t	2	9	the	the	DET
gh93gx43s3t	2	10	initial	initial	ADJ
gh93gx43s3t	2	11	data	datum	NOUN
gh93gx43s3t	2	12	is	be	AUX
gh93gx43s3t	2	13	based	base	VERB
gh93gx43s3t	2	14	on	on	ADP
gh93gx43s3t	2	15	the	the	DET
gh93gx43s3t	2	16	method	method	NOUN
gh93gx43s3t	2	17	of	of	ADP
gh93gx43s3t	2	18	approximate	approximate	ADJ
gh93gx43s3t	2	19	solutions	solution	NOUN
gh93gx43s3t	2	20	,	,	PUNCT
gh93gx43s3t	2	21	delicate	delicate	ADJ
gh93gx43s3t	2	22	commutator	commutator	NOUN
gh93gx43s3t	2	23	and	and	CCONJ
gh93gx43s3t	2	24	multiplier	multipli	ADJ
gh93gx43s3t	2	25	estimates	estimate	NOUN
gh93gx43s3t	2	26	,	,	PUNCT
gh93gx43s3t	2	27	and	and	CCONJ
gh93gx43s3t	2	28	well	well	ADV
gh93gx43s3t	2	29	-	-	PUNCT
gh93gx43s3t	2	30	posedness	posedness	NOUN
gh93gx43s3t	2	31	results	result	NOUN
gh93gx43s3t	2	32	for	for	ADP
gh93gx43s3t	2	33	the	the	DET
gh93gx43s3t	2	34	solution	solution	NOUN
gh93gx43s3t	2	35	and	and	CCONJ
gh93gx43s3t	2	36	its	its	PRON
gh93gx43s3t	2	37	lifespan	lifespan	NOUN
gh93gx43s3t	2	38	.	.	PUNCT
gh93gx43s3t	3	1	also	also	ADV
gh93gx43s3t	3	2	,	,	PUNCT
gh93gx43s3t	3	3	the	the	DET
gh93gx43s3t	3	4	solution	solution	NOUN
gh93gx43s3t	3	5	map	map	NOUN
gh93gx43s3t	3	6	is	be	AUX
gh93gx43s3t	3	7	holder	holder	NOUN
gh93gx43s3t	3	8	continuous	continuous	ADJ
gh93gx43s3t	3	9	if	if	SCONJ
gh93gx43s3t	3	10	the	the	DET
gh93gx43s3t	3	11	hs	hs	X
gh93gx43s3t	3	12	x	x	X
gh93gx43s3t	3	13	hs-􀀀1	hs-􀀀1	PROPN
gh93gx43s3t	3	14	norm	norm	NOUN
gh93gx43s3t	3	15	is	be	AUX
gh93gx43s3t	3	16	replaced	replace	VERB
gh93gx43s3t	3	17	by	by	ADP
gh93gx43s3t	3	18	an	an	DET
gh93gx43s3t	3	19	hr	hr	NOUN
gh93gx43s3t	3	20	x	x	SYM
gh93gx43s3t	3	21	hr􀀀-1	hr􀀀-1	PROPN
gh93gx43s3t	3	22	norm	norm	NOUN
gh93gx43s3t	3	23	for	for	ADP
gh93gx43s3t	3	24	0	0	NUM
gh93gx43s3t	3	25	r	r	X
gh93gx43s3t	3	26	<	<	X
gh93gx43s3t	3	27	s.	s.	PROPN