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Volumn 131, Issue 2, 2003, Pages 415-423

Nonexistence results for higher-order evolution partial differential inequalities

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EID: 0037321172     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06665-0     Document Type: Conference Paper
Times cited : (27)

References (35)
  • 2
    • 0000839051 scopus 로고
    • Fujita type results for convective-like reaction-diffusion equations in exterior domains
    • MR 90m:35093
    • C. Bandle and H.A. Levine, Fujita type results for convective-like reaction-diffusion equations in exterior domains, J. Angew. Math. Phys. 40 (1989), 665-676. MR 90m:35093
    • (1989) J. Angew. Math. Phys. , vol.40 , pp. 665-676
    • Bandle, C.1    Levine, H.A.2
  • 3
    • 0034668417 scopus 로고    scopus 로고
    • Critical exponents of Fujita type for inhomogeneous parabolic equations and systems
    • MR 2001h:35090
    • C. Bandle, H.A. Levine and Q. Zhang, Critical exponents of Fujita type for inhomogeneous parabolic equations and systems, J. Math. Anal. Appl. 251 (2000), 624-648. MR 2001h:35090
    • (2000) J. Math. Anal. Appl. , vol.251 , pp. 624-648
    • Bandle, C.1    Levine, H.A.2    Zhang, Q.3
  • 4
    • 38249034556 scopus 로고
    • Local and global solvability of a class of semilinear parabolic equations
    • MR 88k:35089
    • P. Baras and R. Kersner, Local and global solvability of a class of semilinear parabolic equations, J. Differential Equations 68 (1987), 238-252. MR 88k:35089
    • (1987) J. Differential Equations , vol.68 , pp. 238-252
    • Baras, P.1    Kersner, R.2
  • 5
    • 0002620701 scopus 로고    scopus 로고
    • Nonexistence results and estimates for some nonlinear elliptic problems
    • M.F. Bidaut-Veron and S.I. Pohozaev, Nonexistence results and estimates for some nonlinear elliptic problems, J. Anal. Math. 84 (2001), 1-49.
    • (2001) J. Anal. Math. , vol.84 , pp. 1-49
    • Bidaut-Veron, M.F.1    Pohozaev, S.I.2
  • 7
    • 0000667099 scopus 로고    scopus 로고
    • Global existence of the solutions and formation of singularities for a class of hyperbolic systems
    • (Eds. F. Colombini & N. Lerner), Progress in Nonlinear Differential Equations and Their Applications. Birkhäuser, Boston
    • D. Del Santo, V. Georgiev and E, Mitidieri, Global existence of the solutions and formation of singularities for a class of hyperbolic systems, In: "Geometric Optics and Related Topics" (Eds. F. Colombini & N. Lerner), Progress in Nonlinear Differential Equations and Their Applications. Vol. 32, pp. 117-140, Birkhäuser, Boston, 1997.
    • (1997) Geometric Optics and Related Topics , vol.32 , pp. 117-140
    • Del Santo, D.1    Georgiev, V.2    Mitidieri, E.3
  • 8
    • 0002800188 scopus 로고    scopus 로고
    • The role of critical exponents in blow-up theorems: The sequel
    • MR 2001b:35031
    • K. Deng and H. A. Levine, The role of critical exponents in blow-up theorems: the sequel, J. Math. Anal. Appl. 243 (2000), 85-126. MR 2001b:35031
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 85-126
    • Deng, K.1    Levine, H.A.2
  • 10
    • 0001726448 scopus 로고    scopus 로고
    • Weighted Strichartz estimate and global existence for semilinear wave equation
    • MR 99f:35134
    • V. Georgiev, H. Lindblad and C. Sogge, Weighted Strichartz estimate and global existence for semilinear wave equation, Amer. J. Math. 119 (1997), 1291-1319. MR 99f:35134
    • (1997) Amer. J. Math. , vol.119 , pp. 1291-1319
    • Georgiev, V.1    Lindblad, H.2    Sogge, C.3
  • 11
    • 0037615501 scopus 로고    scopus 로고
    • Criticality for some evolution equations
    • M. Guedda and M. Kirane, Criticality for some evolution equations, Differ. Uravn. 37 (2001), 610-622.
    • (2001) Differ. Uravn. , vol.37 , pp. 610-622
    • Guedda, M.1    Kirane, M.2
  • 12
    • 0013208166 scopus 로고
    • Nonlinear wave equations, formation of singularities
    • Amer. Math. Soc., Providence, RI. MR 91g:35001
    • F. John, Nonlinear wave equations, formation of singularities, University Lecture Ser. 2, Amer. Math. Soc., Providence, RI, 1990. MR 91g:35001
    • (1990) University Lecture Ser. , vol.2
    • John, F.1
  • 13
    • 0013210632 scopus 로고
    • On properties of solutions of a class of nonlinear second-order equations
    • MR 95i:35101
    • V. A. Kondratiev and A. A. Kon'kov, On properties of solutions of a class of nonlinear second-order equations, Mat. Sb. 185 (1994), 81-94. MR 95i:35101
    • (1994) Mat. Sb. , vol.185 , pp. 81-94
    • Kondratiev, V.A.1    Kon'Kov, A.A.2
  • 15
    • 0000074037 scopus 로고    scopus 로고
    • On the absence of positive solutions to semilinear elliptic equations
    • English transl., Proc. Steklov Inst. Math. 1999, no. 4 (227), 155-162. MR 2001h:35062
    • V. V. Kurta, On the absence of positive solutions to semilinear elliptic equations, Tr. Mat. Inst. Steklova 227 (1999), 162-169; English transl., Proc. Steklov Inst. Math. 1999, no. 4 (227), 155-162. MR 2001h:35062
    • (1999) Tr. Mat. Inst. Steklova , vol.227 , pp. 162-169
    • Kurta, V.V.1
  • 16
    • 0001745715 scopus 로고    scopus 로고
    • Absence of global positive solutions for systems of semilinear elliptic inequalities in cone
    • G. G. Laptev, Absence of global positive solutions for systems of semilinear elliptic inequalities in cone, Izv. Ross. Akad. Nauk Ser. Mat. 64 (2000), 107-124.
    • (2000) Izv. Ross. Akad. Nauk Ser. Mat. , vol.64 , pp. 107-124
    • Laptev, G.G.1
  • 17
    • 0001161382 scopus 로고    scopus 로고
    • On the absence of solutions to a class of singular semilinear differential inequalities
    • G. G. Laptev, On the absence of solutions to a class of singular semilinear differential inequalities, Tr. Mat. Inst. Steklova 232 (2001), 223-235.
    • (2001) Tr. Mat. Inst. Steklova , vol.232 , pp. 223-235
    • Laptev, G.G.1
  • 18
    • 0013216183 scopus 로고    scopus 로고
    • Nonexistence of solutions to semilinear parabolic inequalities in cones
    • G.G. Laptev, Nonexistence of solutions to semilinear parabolic inequalities in cones, Mat. Sb. 192(10) (2001), 51-70.
    • (2001) Mat. Sb. , vol.192 , Issue.10 , pp. 51-70
    • Laptev, G.G.1
  • 19
    • 85009820263 scopus 로고    scopus 로고
    • Some nonexistence results for higher-order evolution inequalities in cone-like domains
    • G.G. Laptev, Some nonexistence results for higher-order evolution inequalities in cone-like domains, Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 87-93.
    • (2001) Electron. Res. Announc. Amer. Math. Soc. , vol.7 , pp. 87-93
    • Laptev, G.G.1
  • 20
    • 0025442951 scopus 로고
    • The role of critical exponents in blow-up theorems
    • MR 91j:35135
    • H. A. Levine, The role of critical exponents in blow-up theorems, SIAM Rev. 32 (1990), 262-288. MR 91j:35135
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 21
    • 23044518390 scopus 로고    scopus 로고
    • The critical Fujita number for a semilinear heat equation in exterior domains with homogeneous Neumann boundary values
    • MR 2001g:35134
    • H.A. Levine and Q. Zhang, The critical Fujita number for a semilinear heat equation in exterior domains with homogeneous Neumann boundary values, Proc. Roy. Soc. Edinburgh A 130 (2000), 591-602. MR 2001g:35134
    • (2000) Proc. Roy. Soc. Edinburgh A , vol.130 , pp. 591-602
    • Levine, H.A.1    Zhang, Q.2
  • 22
    • 0001031306 scopus 로고    scopus 로고
    • Nonexistence of global positive solutions to quasilinear elliptic inequalities
    • E. Mitidieri and S.I. Pohozaev, Nonexistence of global positive solutions to quasilinear elliptic inequalities, Dokl. Russ. Acad. Sci. 57 (1998), 250-253.
    • (1998) Dokl. Russ. Acad. Sci. , vol.57 , pp. 250-253
    • Mitidieri, E.1    Pohozaev, S.I.2
  • 23
    • 0000074033 scopus 로고    scopus 로고
    • N
    • English transl., Proc. Steklov Inst. Math. 1999, no. 4 (227), 186-216. MR 2001g:35082
    • N, Tr. Mat. Inst. Steklova 227 (1999), 192-222; English transl., Proc. Steklov Inst. Math. 1999, no. 4 (227), 186-216. MR 2001g:35082
    • (1999) Tr. Mat. Inst. Steklova , vol.227 , pp. 192-222
    • Mitidieri, E.1    Pohozaev, S.T.2
  • 24
    • 0002047118 scopus 로고    scopus 로고
    • A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities
    • Nauka, Moscow
    • E. Mitidieri and S. I. Pohozaev, A Priori Estimates and Blow-up of Solutions to Nonlinear Partial Differential Equations and Inequalities, Nauka, Moscow, 2001 (Tr. Mat. Inst. Steklova 234).
    • (2001) Tr. Mat. Inst. Steklova , vol.234
    • Mitidieri, E.1    Pohozaev, S.I.2
  • 25
    • 0000722446 scopus 로고    scopus 로고
    • Critical exponent and critical blow up for quasi-liner parabolic equations
    • MR 98b:35084
    • K. Mochizuki and R. Suzuki, Critical exponent and critical blow up for quasi-liner parabolic equations, Israel J. Math. 98 (1997), 141-156. MR 98b:35084
    • (1997) Israel J. Math. , vol.98 , pp. 141-156
    • Mochizuki, K.1    Suzuki, R.2
  • 27
    • 0013258336 scopus 로고    scopus 로고
    • Essential nonlinear capacities induced by differential operators
    • S.I. Pohozaev, Essential nonlinear capacities induced by differential operators, Dokl. Russ. Acad. Sci. 357 (1997), 592-594.
    • (1997) Dokl. Russ. Acad. Sci. , vol.357 , pp. 592-594
    • Pohozaev, S.I.1
  • 29
    • 0013208541 scopus 로고    scopus 로고
    • Instantaneous blow-up results for nonlinear parabolic and hyperbolic inequalities
    • (to appear)
    • S. I. Pohozaev and A. Tesei, Instantaneous blow-up results for nonlinear parabolic and hyperbolic inequalities, Differ. Uravn. (to appear).
    • Differ. Uravn.
    • Pohozaev, S.I.1    Tesei, A.2
  • 31
    • 0034165526 scopus 로고    scopus 로고
    • Critical exponent for a nonlinear wave equation with damping
    • MR 2001a:35025
    • G. Todorova, B. Yordanov, Critical exponent for a nonlinear wave equation with damping, C. R. Acad. Sci. Paris, Ser. I 330 (2000), 557-562. MR 2001a:35025
    • (2000) C. R. Acad. Sci. Paris, Ser. I , vol.330 , pp. 557-562
    • Todorova, G.1    Yordanov, B.2
  • 32
    • 0001489696 scopus 로고    scopus 로고
    • Blow-up results for nonlinear hyperbolic inequalities
    • MR 2001m:35227
    • L. Veron and S. I. Pohozaev, Blow-up results for nonlinear hyperbolic inequalities, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 29 (2000), 393-420. MR 2001m:35227
    • (2000) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.29 , Issue.4 , pp. 393-420
    • Veron, L.1    Pohozaev, S.I.2
  • 33
    • 0000146722 scopus 로고    scopus 로고
    • Blow-up results for nonlinear parabolic equations on manifolds
    • MR 2000d:35107
    • Qi Zhang, Blow-up results for nonlinear parabolic equations on manifolds, Duke Math. J. 97 (1999). 515-539. MR 2000d:35107
    • (1999) Duke Math. J. , vol.97 , pp. 515-539
    • Zhang, Q.1
  • 34
    • 0013314491 scopus 로고    scopus 로고
    • A new critical behavior for nonlinear wave equations
    • MR 2001i:35212
    • Qi Zhang, A new critical behavior for nonlinear wave equations, J. Comput. Anal. Appl. 2 (2000), 277-292. MR 2001i:35212
    • (2000) J. Comput. Anal. Appl. , vol.2 , pp. 277-292
    • Zhang, Q.1
  • 35
    • 0035880085 scopus 로고    scopus 로고
    • A blow-up result for a nonlinear wave equation with damping: The critical case
    • Qi Zhang, A blow-up result for a nonlinear wave equation with damping: The critical case, C. R. Acad. Sci. Paris, Série I 333 (2001), 109-114.
    • (2001) C. R. Acad. Sci. Paris, Série I , vol.333 , pp. 109-114
    • Zhang, Q.1


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