Chitour, Yacine; Marx, Swann; Prieur, Christophe \(L^p\)-asymptotic stability analysis of a 1D wave equation with a nonlinear damping. (English) Zbl 1453.35028 J. Differ. Equations 269, No. 10, 8107-8131 (2020). Reviewer: Jin Liang (Shanghai) MSC: 35B40 35L05 35L20 35L71 PDF BibTeX XML Cite \textit{Y. Chitour} et al., J. Differ. Equations 269, No. 10, 8107--8131 (2020; Zbl 1453.35028) Full Text: DOI
Lienstromberg, Christina; Müller, Stefan Local strong solutions to a quasilinear degenerate fourth-order thin-film equation. (English) Zbl 1445.35198 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 16, 28 p. (2020). MSC: 35K25 35K35 35K55 35K59 35K65 35Q35 76A05 76A20 76D03 PDF BibTeX XML Cite \textit{C. Lienstromberg} and \textit{S. Müller}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 16, 28 p. (2020; Zbl 1445.35198) Full Text: DOI
Haloi, Rajib On solutions to abstract Volterra integro-differential equations with iterated deviating arguments. (English) Zbl 1435.34075 J. Anal. 28, No. 1, 235-260 (2020). MSC: 34K30 35K05 47N20 37C60 PDF BibTeX XML Cite \textit{R. Haloi}, J. Anal. 28, No. 1, 235--260 (2020; Zbl 1435.34075) Full Text: DOI
Haloi, Rajib; Pandey, Dwijendra N. Existence and uniqueness of a solution for a non-autonomous semilinear integro-differential equation with deviated argument. (English) Zbl 1270.34179 Differ. Equ. Dyn. Syst. 20, No. 1, 1-16 (2012). Reviewer: Shaochun Ji (Huaian) MSC: 34K30 47N20 45K99 PDF BibTeX XML Cite \textit{R. Haloi} and \textit{D. N. Pandey}, Differ. Equ. Dyn. Syst. 20, No. 1, 1--16 (2012; Zbl 1270.34179) Full Text: DOI
Balaev, M. K. Solvability of the Cauchy problem for linear operator-differential equations with variable operator coefficients. (English. Russian original) Zbl 1286.34084 Math. Notes 90, No. 5, 651-665 (2011); translation from Mat. Zametki 90, No. 5, 672-688 (2011). MSC: 34G10 34A12 PDF BibTeX XML Cite \textit{M. K. Balaev}, Math. Notes 90, No. 5, 651--665 (2011; Zbl 1286.34084); translation from Mat. Zametki 90, No. 5, 672--688 (2011) Full Text: DOI
Hansel, Tobias On the Navier-Stokes equations with rotating effect and prescribed outflow velocity. (English) Zbl 1270.35345 J. Math. Fluid Mech. 13, No. 3, 405-419 (2011). MSC: 35Q30 76D05 76D03 PDF BibTeX XML Cite \textit{T. Hansel}, J. Math. Fluid Mech. 13, No. 3, 405--419 (2011; Zbl 1270.35345) Full Text: DOI arXiv
Peng, Y. Second-order nonlinear impulsive integro-differential equations of mixed type and optimal controls in fractional power spaces. (English) Zbl 1207.45010 Abstr. Appl. Anal. 2010, Article ID 213503, 16 p. (2010). MSC: 45J05 45G10 PDF BibTeX XML Cite \textit{Y. Peng}, Abstr. Appl. Anal. 2010, Article ID 213503, 16 p. (2010; Zbl 1207.45010) Full Text: DOI EuDML
Anderson, Michael T.; Herzlich, Marc Erratum to “Unique continuation results for Ricci curvature and applications”. (English) Zbl 1190.58019 J. Geom. Phys. 60, No. 6-8, 1062-1067 (2010). MSC: 58J32 53C21 35J60 PDF BibTeX XML Cite \textit{M. T. Anderson} and \textit{M. Herzlich}, J. Geom. Phys. 60, No. 6--8, 1062--1067 (2010; Zbl 1190.58019) Full Text: DOI
Guidotti, Patrick Optimal regularity for a class of singular abstract parabolic equations. (English) Zbl 1107.35073 J. Differ. Equations 232, No. 2, 468-486 (2007). MSC: 35K90 35B65 47D06 35R35 35K20 PDF BibTeX XML Cite \textit{P. Guidotti}, J. Differ. Equations 232, No. 2, 468--486 (2007; Zbl 1107.35073) Full Text: DOI arXiv
Labbas, Rabah; Medeghri, Ahmed; Sadallah, Boubaker-Khaled On a parabolic equation in a triangular domain. (English) Zbl 1029.35062 Appl. Math. Comput. 130, No. 2-3, 511-523 (2002). MSC: 35D10 35B65 35K20 35B45 PDF BibTeX XML Cite \textit{R. Labbas} et al., Appl. Math. Comput. 130, No. 2--3, 511--523 (2002; Zbl 1029.35062) Full Text: DOI
Li, Yong; Cong, Fuzhong; Lin, Zhenghua; Liu, Wenbin Periodic solutions for evolution equations. (English) Zbl 0924.34034 Nonlinear Anal., Theory Methods Appl. 36, No. 3, A, 275-293 (1999). Reviewer: Rong Yuan (Beijing) MSC: 34C25 34K13 34G20 34G10 35B10 PDF BibTeX XML Cite \textit{Y. Li} et al., Nonlinear Anal., Theory Methods Appl. 36, No. 3, 275--293 (1999; Zbl 0924.34034) Full Text: DOI
Guidotti, Patrick Singular quasilinear abstract Cauchy problems. (English) Zbl 0939.34056 Nonlinear Anal., Theory Methods Appl. 32, No. 5, 667-695 (1998). Reviewer: S.Aizicovici (Athens/Ohio) MSC: 34G20 35K20 34G10 PDF BibTeX XML Cite \textit{P. Guidotti}, Nonlinear Anal., Theory Methods Appl. 32, No. 5, 667--695 (1998; Zbl 0939.34056) Full Text: DOI
Uiterdijk, M. On a theorem by W. von Wahl. (English) Zbl 0896.35065 Z. Anal. Anwend. 16, No. 4, 961-978 (1997). Reviewer: V.A.Liskevich (Bristol) MSC: 35K60 47D06 PDF BibTeX XML Cite \textit{M. Uiterdijk}, Z. Anal. Anwend. 16, No. 4, 961--978 (1997; Zbl 0896.35065) Full Text: DOI
Yamada, Yoshio Global solutions for quasilinear parabolic systems with cross-diffusion effects. (English) Zbl 0863.35052 Nonlinear Anal., Theory Methods Appl. 24, No. 9, 1395-1412 (1995). MSC: 35K60 92D25 35K50 PDF BibTeX XML Cite \textit{Y. Yamada}, Nonlinear Anal., Theory Methods Appl. 24, No. 9, 1395--1412 (1995; Zbl 0863.35052) Full Text: DOI
Buttu, Anna On the evolution operator for a class of non-autonomous abstract parabolic equations. (English) Zbl 0768.34039 J. Math. Anal. Appl. 170, No. 1, 115-137 (1992). Reviewer: N.Pavel (Athens / Ohio) MSC: 34G20 47D06 PDF BibTeX XML Cite \textit{A. Buttu}, J. Math. Anal. Appl. 170, No. 1, 115--137 (1992; Zbl 0768.34039) Full Text: DOI
Escher, Joachim Nonlinear elliptic systems with dynamic boundary conditions. (English) Zbl 0759.35025 Math. Z. 210, No. 3, 413-439 (1992). Reviewer: J.Escher MSC: 35K55 35J25 35J60 35G10 35K25 47D03 35D10 PDF BibTeX XML Cite \textit{J. Escher}, Math. Z. 210, No. 3, 413--439 (1992; Zbl 0759.35025) Full Text: DOI EuDML
Lunardi, Alessandra Differentiability with respect to (t,s) of the parabolic evolution operator. (English) Zbl 0697.35064 Isr. J. Math. 68, No. 2, 161-184 (1989). Reviewer: P.de Mottoni MSC: 35K20 35G10 35K25 47D03 34G99 PDF BibTeX XML Cite \textit{A. Lunardi}, Isr. J. Math. 68, No. 2, 161--184 (1989; Zbl 0697.35064) Full Text: DOI
Tanabe, Hiroki On fundamental solutions of linear parabolic equations of higher order in time and associated Volterra equations. (English) Zbl 0673.35042 J. Differ. Equations 73, No. 2, 288-308 (1988). Reviewer: M.Cinquini-Cibrario MSC: 35K35 45D05 35A08 35K50 PDF BibTeX XML Cite \textit{H. Tanabe}, J. Differ. Equations 73, No. 2, 288--308 (1988; Zbl 0673.35042) Full Text: DOI
Amann, Herbert Dynamic theory of quasilinear parabolic equations: Abstract evolution equations. (English) Zbl 0666.35043 Nonlinear Anal., Theory Methods Appl. 12, No. 9, 895-919 (1988). Reviewer: M.Degiovanni MSC: 35G10 35K25 47H20 35A07 35K55 35B30 34G20 PDF BibTeX XML Cite \textit{H. Amann}, Nonlinear Anal., Theory Methods Appl. 12, No. 9, 895--919 (1988; Zbl 0666.35043) Full Text: DOI
Amann, Herbert Parabolic evolution equations and nonlinear boundary conditions. (English) Zbl 0658.34011 J. Differ. Equations 72, No. 2, 201-269 (1988). Reviewer: O.Arino MSC: 34B10 PDF BibTeX XML Cite \textit{H. Amann}, J. Differ. Equations 72, No. 2, 201--269 (1988; Zbl 0658.34011) Full Text: DOI
Amann, Herbert Parabolic evolution equations in interpolation and extrapolation spaces. (English) Zbl 0654.47019 J. Funct. Anal. 78, No. 2, 233-270 (1988). Reviewer: C.Marinov MSC: 47D03 46M35 47F05 47E05 PDF BibTeX XML Cite \textit{H. Amann}, J. Funct. Anal. 78, No. 2, 233--270 (1988; Zbl 0654.47019) Full Text: DOI
Lunardi, Alessandra On the evolution operator for abstract parabolic equations. (English) Zbl 0655.47036 Isr. J. Math. 60, No. 3, 281-314 (1987). Reviewer: Yu.S.Eidel’man MSC: 47D03 35K30 58D25 PDF BibTeX XML Cite \textit{A. Lunardi}, Isr. J. Math. 60, No. 3, 281--314 (1987; Zbl 0655.47036) Full Text: DOI
Acquistapace, Paolo; Terreni, Brunello A unified approach to abstract linear nonautonomous parabolic equations. (English) Zbl 0646.34006 Rend. Semin. Mat. Univ. Padova 78, 47-107 (1987). Reviewer: V.C.Boffi MSC: 34A12 PDF BibTeX XML Cite \textit{P. Acquistapace} and \textit{B. Terreni}, Rend. Semin. Mat. Univ. Padova 78, 47--107 (1987; Zbl 0646.34006) Full Text: Numdam EuDML
Obrecht, Enrico The Cauchy problem for time-dependent abstract parabolic equations of higher order. (English) Zbl 0645.34052 J. Math. Anal. Appl. 125, 508-530 (1987). Reviewer: E.Obrecht MSC: 34G10 PDF BibTeX XML Cite \textit{E. Obrecht}, J. Math. Anal. Appl. 125, 508--530 (1987; Zbl 0645.34052) Full Text: DOI
Amann, Herbert Quasilinear evolution equations and parabolic systems. (English) Zbl 0635.47056 Trans. Am. Math. Soc. 293, 191-227 (1986). Reviewer: M.Degiovanni MSC: 47H20 35K60 46M35 35K55 35G10 35K25 58D20 PDF BibTeX XML Cite \textit{H. Amann}, Trans. Am. Math. Soc. 293, 191--227 (1986; Zbl 0635.47056) Full Text: DOI
Obrecht, Enrico Evolution operators for higher order abstract parabolic equations. (English) Zbl 0618.35054 Czech. Math. J. 36(111), 210-222 (1986). Reviewer: V.Mustonen MSC: 35K25 35R20 35G10 35C15 PDF BibTeX XML Cite \textit{E. Obrecht}, Czech. Math. J. 36(111), 210--222 (1986; Zbl 0618.35054) Full Text: EuDML
Acquistapace, Paolo; Terreni, Brunello Linear parabolic equations in Banach spaces with variable domains but constant interpolation spaces. (English) Zbl 0612.34057 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 13, 75-107 (1986). MSC: 34G10 46M35 PDF BibTeX XML Cite \textit{P. Acquistapace} and \textit{B. Terreni}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 13, 75--107 (1986; Zbl 0612.34057) Full Text: Numdam EuDML
Graff, Richard A. A functional analytic approach to uniqueness of solutions to some nonlinear Cauchy problems. (English) Zbl 0605.35002 J. Differ. Equations 60, 322-336 (1985). Reviewer: N.Luca MSC: 35A05 47J05 34G20 35K55 35L70 PDF BibTeX XML Cite \textit{R. A. Graff}, J. Differ. Equations 60, 322--336 (1985; Zbl 0605.35002) Full Text: DOI
Acquistapace, Paolo; Terreni, Brunello On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains. (English) Zbl 0579.34001 Ann. Mat. Pura Appl., IV. Ser. 140, 1-55 (1985). Reviewer: F.R.Dias Agudo MSC: 34A12 34G10 47B38 PDF BibTeX XML Cite \textit{P. Acquistapace} and \textit{B. Terreni}, Ann. Mat. Pura Appl. (4) 140, 1--55 (1985; Zbl 0579.34001) Full Text: DOI
Lunardi, Alessandra Global solutions of abstract quasilinear parabolic equations. (English) Zbl 0526.35039 J. Differ. Equations 58, 228-242 (1985). MSC: 35G10 35K25 35A05 35K60 PDF BibTeX XML Cite \textit{A. Lunardi}, J. Differ. Equations 58, 228--242 (1985; Zbl 0526.35039) Full Text: DOI
Amann, Herbert Existence and regularity for semilinear parabolic evolution equations. (English) Zbl 0625.35045 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 11, 593-676 (1984). MSC: 35K55 35D05 35D10 35G10 35K25 47D03 35B65 PDF BibTeX XML Cite \textit{H. Amann}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 11, 593--676 (1984; Zbl 0625.35045) Full Text: Numdam EuDML
Da Prato, Giuseppe; Sinestrari, Eugenio Hölder regularity for non-autonomous abstract parabolic equations. (English) Zbl 0495.47031 Isr. J. Math. 42, 1-19 (1982). MSC: 47E05 47F05 47D03 35G10 35K25 26A15 46E35 PDF BibTeX XML Cite \textit{G. Da Prato} and \textit{E. Sinestrari}, Isr. J. Math. 42, 1--19 (1982; Zbl 0495.47031) Full Text: DOI
Talenti, G.; Tesei, A. Remarks on the asymptotical behaviour of solutions to some nonlinear parabolic equations. (English) Zbl 0433.35036 Rend. Sem. Mat. Univ. Padova 59, 57-66 (1978). MSC: 35K55 35B35 35B40 PDF BibTeX XML Cite \textit{G. Talenti} and \textit{A. Tesei}, Rend. Semin. Mat. Univ. Padova 59, 57--66 (1978; Zbl 0433.35036) Full Text: Numdam EuDML
Amann, Herbert Invariant sets and existence theorems for semilinear parabolic and elliptic systems. (English) Zbl 0387.35038 J. Math. Anal. Appl. 65, 432-467 (1978). MSC: 35K55 35J60 PDF BibTeX XML Cite \textit{H. Amann}, J. Math. Anal. Appl. 65, 432--467 (1978; Zbl 0387.35038) Full Text: DOI
Weilenmann, Jürg An approximation theorem for linear Cauchy problems in Banach space. (English) Zbl 0372.34036 J. Funct. Anal. 27, 21-37 (1978). MSC: 34G99 47D03 35K99 34A12 PDF BibTeX XML Cite \textit{J. Weilenmann}, J. Funct. Anal. 27, 21--37 (1978; Zbl 0372.34036) Full Text: DOI
Massey, F. J. III Analyticity of solutions of nonlinear evolution equations. (English) Zbl 0362.35044 J. Differ. Equations 22, 416-427 (1976). MSC: 35K55 34G99 47J05 34A12 34M99 PDF BibTeX XML Cite \textit{F. J. Massey III}, J. Differ. Equations 22, 416--427 (1976; Zbl 0362.35044) Full Text: DOI
Iannelli, M. Opérateurs derivables et semi-groupes non-linéaires non-contractifs. (French) Zbl 0304.34058 J. Math. Anal. Appl. 46, 700-724 (1974). MSC: 34G99 47J05 47H99 PDF BibTeX XML Cite \textit{M. Iannelli}, J. Math. Anal. Appl. 46, 700--724 (1974; Zbl 0304.34058) Full Text: DOI
Maruo, Kenji; Yamada, Naoki A remark on integral equation in a Banach space. (English) Zbl 0269.47033 Proc. Japan Acad. 49, 13-16 (1973). MSC: 47H05 34G99 47A55 45N05 47J05 PDF BibTeX XML Cite \textit{K. Maruo} and \textit{N. Yamada}, Proc. Japan Acad. 49, 13--16 (1973; Zbl 0269.47033) Full Text: DOI
Köhnen, W. Das Anfangswertverhalten von Evolutionsgleichungen in Banachräumen. Teil I: Approximationseigenschaften von Evolutionsoperatoren. (German) Zbl 0217.45301 Tohoku Math. J., II. Ser. 22, 566-596 (1970). MSC: 47-02 47A50 47D03 47D06 47A58 41A40 PDF BibTeX XML Cite \textit{W. Köhnen}, Tohoku Math. J. (2) 22, 566--596 (1970; Zbl 0217.45301) Full Text: DOI
Lagnese, John E. On equations of evolution and parabolic equations of higher order in t. (English) Zbl 0207.14002 J. Math. Anal. Appl. 32, 15-37 (1970). MSC: 47D06 47D03 47A20 47F05 47A10 PDF BibTeX XML Cite \textit{J. E. Lagnese}, J. Math. Anal. Appl. 32, 15--37 (1970; Zbl 0207.14002) Full Text: DOI
Dorroh, J. R. A class of nonlinear evolution equations in a Banach space. (English) Zbl 0191.43301 Trans. Am. Math. Soc. 147, 65-74 (1970). PDF BibTeX XML Cite \textit{J. R. Dorroh}, Trans. Am. Math. Soc. 147, 65--74 (1970; Zbl 0191.43301) Full Text: DOI
Jäger, W. Ein gewöhnlicher Differentialoperator zweiter Ordnung für Funktionen mit Werten in einem Hilbertraum. (German) Zbl 0187.09001 Math. Z. 113, 68-98 (1970). PDF BibTeX XML Cite \textit{W. Jäger}, Math. Z. 113, 68--98 (1970; Zbl 0187.09001) Full Text: DOI EuDML
Friedman, A. Differential games of pursuit in Banach space. (English) Zbl 0205.16301 J. Math. Anal. Appl. 25, 93-113 (1969). MSC: 91A23 91A24 93C25 PDF BibTeX XML Cite \textit{A. Friedman}, J. Math. Anal. Appl. 25, 93--113 (1969; Zbl 0205.16301) Full Text: DOI
Friedman, A. Optimal control in Banach space with fixed end-points. (English) Zbl 0182.21002 J. Math. Anal. Appl. 24, 161-181 (1968). PDF BibTeX XML Cite \textit{A. Friedman}, J. Math. Anal. Appl. 24, 161--181 (1968; Zbl 0182.21002) Full Text: DOI
Pazy, A. Asymptotic behavior of the solution of an abstract evolution equation and some applications. (English) Zbl 0174.13802 J. Differ. Equations 4, 493-509 (1968). PDF BibTeX XML Cite \textit{A. Pazy}, J. Differ. Equations 4, 493--509 (1968; Zbl 0174.13802) Full Text: DOI
Friedman, A. Singular perturbations for partial differential equations. (English) Zbl 0164.41701 Arch. Ration. Mech. Anal. 29, 289-303 (1968). PDF BibTeX XML Cite \textit{A. Friedman}, Arch. Ration. Mech. Anal. 29, 289--303 (1968; Zbl 0164.41701) Full Text: DOI
Friedman, A. Optimal control in Banach spaces. (English) Zbl 0155.15902 J. Math. Anal. Appl. 19, 35-55 (1967). Errata. Ibid. 20, 194 (1967). PDF BibTeX XML Cite \textit{A. Friedman}, J. Math. Anal. Appl. 19, 35--55 (1967; Zbl 0155.15902) Full Text: DOI
Carroll, Robert W. Some growth and convexity theorems for second-order equations. (English) Zbl 0148.06002 J. Math. Anal. Appl. 17, 508-518 (1967). Reviewer: H. Hochstadt MSC: 34G20 47Axx PDF BibTeX XML Cite \textit{R. W. Carroll}, J. Math. Anal. Appl. 17, 508--518 (1967; Zbl 0148.06002) Full Text: DOI
Friedman, A.; Shinbrot, M. Volterra integral equations in Banach space. (English) Zbl 0147.12302 Trans. Am. Math. Soc. 126, 131-179 (1967). PDF BibTeX XML Cite \textit{A. Friedman} and \textit{M. Shinbrot}, Trans. Am. Math. Soc. 126, 131--179 (1967; Zbl 0147.12302) Full Text: DOI
Da Prato, G.; Mosco, U. Semigruppi distribuzioni analitici. (Italian) Zbl 0198.47202 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 19, 367-396 (1965). PDF BibTeX XML Cite \textit{G. Da Prato} and \textit{U. Mosco}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 19, 367--396 (1965; Zbl 0198.47202) Full Text: Numdam EuDML
Poulsen, Ebbe Thue Evolutionsgleichungen in Banach-Räumen. (German) Zbl 0141.13102 Math. Z. 90, 296-309 (1965). PDF BibTeX XML Cite \textit{E. T. Poulsen}, Math. Z. 90, 296--309 (1965; Zbl 0141.13102) Full Text: DOI EuDML
Tanabe, Hiroki Convergence to a stationary state of the solution of some and of differential equations in a Banach space. (English) Zbl 0123.10402 Proc. Japan Acad. 37, 127-130 (1961). PDF BibTeX XML Cite \textit{H. Tanabe}, Proc. Japan Acad. 37, 127--130 (1961; Zbl 0123.10402) Full Text: DOI
Tanabe, Hiroki Evolutional equations of parabolic type. (English) Zbl 0104.34002 Proc. Japan Acad. 37, 610-613 (1961). PDF BibTeX XML Cite \textit{H. Tanabe}, Proc. Japan Acad. 37, 610--613 (1961; Zbl 0104.34002) Full Text: DOI