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On a structure of the fixed point set of homogeneous maps
Pointwise estimates for solutions of singular quasi-linear parabolic equations
1. | Department of Mathematics, Swansea University, Swansea SA2 8PP, United Kingdom |
2. | Institute of Applied Mathematics and Mechanics, Donetsk 83114, Ukraine |
References:
[1] |
Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Nat. (III), 125 (1957), 25-43. |
[2] |
Springer, New York, 1993.
doi: 10.1007/978-1-4612-0895-2. |
[3] |
in "Handbook of Differential Equations. Evolution Equations" (eds. C. Dafermos and E. Feireisl), Elsevier, 1 (2004), 169-286. |
[4] |
Acta Mathematica, 200 (2008), 181-209.
doi: 10.1007/s11511-008-0026-3. |
[5] |
Amer. J. Math., to appear.
doi: 10.1353/ajm.2011.0023. |
[6] | |
[7] |
Acta Math., 172 (1994), 137-161.
doi: 10.1007/BF02392793. |
[8] |
Duke Math. J., 111 (2002), 1-49.
doi: 10.1215/S0012-7094-02-11111-9. |
[9] |
Translations of Mathematical Monographs, 23 American Mathematical Society, Providence, R.I. 1967. |
[10] | |
[11] |
J. Diff. Eq., 247 (2009), 2740-2777.
doi: 10.1016/j.jde.2009.08.018. |
[12] |
Mathematical Surveys and Monographs, 51. American Mathematical Society, Providence, RI, 1997. |
[13] |
Ann. of Math. (2), 168 (2008), 859-914.
doi: 10.4007/annals.2008.168.859. |
[14] |
J. Funct. Anal., 256 (2009), 1875-1906.
doi: 10.1016/j.jfa.2009.01.012. |
[15] | |
[16] |
show all references
References:
[1] |
Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Nat. (III), 125 (1957), 25-43. |
[2] |
Springer, New York, 1993.
doi: 10.1007/978-1-4612-0895-2. |
[3] |
in "Handbook of Differential Equations. Evolution Equations" (eds. C. Dafermos and E. Feireisl), Elsevier, 1 (2004), 169-286. |
[4] |
Acta Mathematica, 200 (2008), 181-209.
doi: 10.1007/s11511-008-0026-3. |
[5] |
Amer. J. Math., to appear.
doi: 10.1353/ajm.2011.0023. |
[6] | |
[7] |
Acta Math., 172 (1994), 137-161.
doi: 10.1007/BF02392793. |
[8] |
Duke Math. J., 111 (2002), 1-49.
doi: 10.1215/S0012-7094-02-11111-9. |
[9] |
Translations of Mathematical Monographs, 23 American Mathematical Society, Providence, R.I. 1967. |
[10] | |
[11] |
J. Diff. Eq., 247 (2009), 2740-2777.
doi: 10.1016/j.jde.2009.08.018. |
[12] |
Mathematical Surveys and Monographs, 51. American Mathematical Society, Providence, RI, 1997. |
[13] |
Ann. of Math. (2), 168 (2008), 859-914.
doi: 10.4007/annals.2008.168.859. |
[14] |
J. Funct. Anal., 256 (2009), 1875-1906.
doi: 10.1016/j.jfa.2009.01.012. |
[15] | |
[16] |
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