Research page of Stig-Olof Londen

Research interests:

Recent publications:

  1. Desch, Gertrud; Londen, Stig-Olof Evolutionary equations driven by fractional Brownian motion. Submitted.
  2. Desch, Wolfgang ; Londen, Stig-Olof Maximal regularity for stochastic integral equations.. To appear, J. Applied Anal.
  3. Londen, Stig-Olof; Petzeltová, Hana Regularity and separation from potential barriers for a non-local phase-field system, J.Math.Anal.Appl. 379 (2011), 287--317.
  4. Desch, Wolfgang ; Londen, Stig-Olof Semilinear stochastic integral equations in $L^p$. Progress in Nonlinear Differential Equations and their Applications 80 (2011), 131--166. Springer.
  5. Desch, Wolfgang ; Londen, Stig-Olof An $L^p$-theory for stochastic integral equations. J. Evolution Eqs., 11 (2011), 287--317.
  6. Londen, Stig-Olof; Petzeltová, Hana Convergence of solutions of a non-local phase-field system. Discrete and Continuous Dynamical Systems, Ser S, 4 (2011), 653--670.
  7. Desch, Wolfgang ; Londen, Stig-Olof A generalization of an inequality by N.V. Krylov. J. Evol. Equ. 9 (2009), 525--560.
  8. Desch, Wolfgang ; Londen, Stig-Olof On a stochastic parabolic integral equation. Functional analysis and evolution equations, 157--169, Birkhäuser, Basel, 2008.
  9. Londen, Stig-Olof Interpolation spaces for initial values of abstract fractional differential equations. Partial differential equations and functional analysis, 153--168, Oper. Theory Adv. Appl., 168, Birkhäuser, Basel, 2006.
  10. Clément, Philippe ; Londen, Stig-Olof ; Simonett, Gieri Quasilinear evolutionary equations and continuous interpolation spaces. J. Differential Equations 196 (2004), no. 2, 418--447.

Monograph:

Earlier articles:

  1. Londen, S.-O. ; Petzeltová, H. ; Prüss, J. Global well-posedness and stability of a partial integro-differential equation with applications to viscoelasticity. J. Evol. Equ. 3 (2003), no. 2, 169--201.
  2. Cockburn, B. ; Gripenberg, G. ; Londen, S.-O. Continuous dependence on the nonlinearity of viscosity solutions of parabolic equations. J. Differential Equations 170 (2001), no. 1, 180--187.
  3. Clément, Philippe ; Londen, Stig-Olof Regularity aspects of fractional evolution equations. Workshop on Blow-up and Global Existence of Solutions for Parabolic and Hyperbolic Problems (Trieste, 1999). Rend. Istit. Mat. Univ. Trieste 31 (2000), suppl. 2, 19--30.
  4. Clément, Ph. ; Gripenberg, G. ; Londen, S.-O. Schauder estimates for equations with fractional derivatives. Trans. Amer. Math. Soc. 352 (2000), no. 5, 2239--2260.
  5. Gripenberg, Gustaf ; Clément, Philippe ; Londen, Stig-Olof Smoothness in fractional evolution equations and conservation laws. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 29 (2000), no. 1, 231--251.
  6. Clément, Ph. ; Gripenberg, G. ; Londen, S.-O. Hölder regularity for a linear fractional evolution equation. Topics in nonlinear analysis, 69--82, Progr. Nonlinear Differential Equations Appl., 35, Birkhäuser, Basel, 1999.
  7. Gripenberg, G. ; Londen, S.-O. ; Prüss, J. On a fractional partial differential equation with dominating linear part. Math. Methods Appl. Sci. 20 (1997), no. 16, 1427--1448.
  8. Cockburn, B. ; Gripenberg, G. ; Londen, S.-O. On convergence to entropy solutions of a single conservation law. J. Differential Equations 128 (1996), no. 1, 206--251.
  9. Londen, Stig-Olof On a quasilinear parabolic integrodifferential equation. Differential Integral Equations 8 (1995), no. 2, 353--369.
  10. Gripenberg, Gustaf ; Londen, Stig-Olof Fractional derivatives and smoothing in nonlinear conservation laws. Differential Integral Equations 8 (1995), no. 8, 1961--1976.
  11. Londen, Stig-Olof Some existence results for a nonlinear hyperbolic integrodifferential equation with singular kernel. J. Integral Equations Appl. 3 (1991), no. 1, 3--30.
  12. Aizicovici, Sergiu ; Londen, Stig-Olof ; Reich, Simeon Asymptotic behavior of solutions to a class of nonlinear Volterra equations. Differential Integral Equations 3 (1990), no. 5, 813--825.
  13. Londen, Stig-Olof A Volterra equation with $L^ 2$-solutions. SIAM J. Math. Anal. 18 (1987), no. 1, 168--171.
  14. Londen, Stig-Olof On some nonintegrable Volterra kernels with integrable resolvents including some applications to Riesz potentials. Integro-differential evolution equations and applications (Trento, 1984). J. Integral Equations 10 (1985), no. 1-3, suppl., 241--289.
  15. Londen, S.-O. ; Nohel, J. A. Nonlinear Volterra integro-differential equation occurring in heat flow. J. Integral Equations 6 (1984), no. 1, 11--50.
  16. Londen, Stig-Olof On some integral equations with locally finite measures and $L^{\infty }$-perturbations. SIAM J. Math. Anal. 14 (1983), no. 6, 1187--1203.
  17. Londen, Stig-Olof On an integral equation with $L^{\infty }$-perturbation. J. Integral Equations 5 (1983), no. 1, 49--57.
  18. Londen, Stig-Olof $L^{2}$-solutions of some integral equations with positive definite kernels. J. Math. Anal. Appl. 78 (1980), no. 2, 455--465.
  19. Londen, Stig-Olof Sur une équation intégrale du type Volterra non-linéaire. (French) [On a nonlinear integral equation of Volterra type] An. Ştiinţ. Univ. ``Al. I. Cuza'' Iaşi Secţ. I a Mat. (N.S.) 25 (1979), no. 2, 287--295.
  20. Londen, Stig-Olof On a Volterra integro-differential equation with $L^{\infty }$-perturbation and noncountable zero-set of the transformed kernel. J. Integral Equations 1 (1979), no. 4, 275--280.
  21. Londen, Stig-Olof An existence result on a Volterra equation in a Banach space. Trans. Amer. Math. Soc. 235 (1978), 285--304.
  22. Crandall, M. G. ; Londen, S.-O. ; Nohel, J. A. An abstract nonlinear Volterra integrodifferential equation. J. Math. Anal. Appl. 64 (1978), no. 3, 701--735.
  23. Londen, Stig-Olof ; Staffans, Olof J. A note on Volterra equations in a Hilbert space. Proc. Amer. Math. Soc. 70 (1978), no. 1, 57--62.
  24. Londen, Stig-Olof On an integrodifferential Volterra equation with a maximal monotone mapping. J. Differential Equations 27 (1978), no. 3, 405--420.
  25. Londen, Stig-Olof On an integral equation in a Hilbert space. SIAM J. Math. Anal. 8 (1977), no. 6, 950--970.
  26. Londen, Stig-Olof On boundedness result of a Volterra equation. An. Ştiinţ. Univ. ``Al. I. Cuza'' Iaşi Secţ. I a Mat. (N.S.) 23 (1977), no. 2, 329--332.
  27. Londen, Stig-Olof On the variation of the solutions of a nonlinear integral equation. J. Math. Anal. Appl. 52 (1975), no. 3, 430--449.
  28. Londen, Stig-Olof On the asymptotic behavior of the bounded solutions of a nonlinear Volterra equation. SIAM J. Math. Anal. 5 (1974), 849--875.
  29. Londen, Stig-Olof On a nonlinear Volterra integral equation. J. Differential Equations 14 (1973), 106--120.
  30. Londen, Stig-Olof Some nonoscillation theorems for a second order nonlinear differential equation. SIAM J. Math. Anal. 4 (1973), 460--465.
  31. Londen, Stig-Olof On the asymptotic behavior of the solutions of a nonlinear Volterra equation. Ann. Mat. Pura Appl. (4) 93 (1972), 263--269.
  32. Londen, Stig-Olof On the solutions of a nonlinear Volterra equation. J. Math. Anal. Appl. 39 (1972), 564--573.
  33. Londen, Stig-Olof On some nonlinear Volterra integrodifferential equations. J. Differential Equations 11 (1972) 169--179.
  34. Londen, Stig-Olof On the asymptotic behavior of the solution of a nonlinear integrodifferential equation. SIAM J. Math. Anal. 2 (1971) 356--367.
  35. Londen, Stig-Olof The qualitative behavior of the solutions of a nonlinear Volterra equation. Michigan Math. J. 18 (1971), 321--330.

Other publications

  1. Clément, Ph. ; Gripenberg, G. ; Londen, S.-O. Regularity properties of solutions of fractional evolution equations. Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998), 235--246, Lecture Notes in Pure and Appl. Math., 215, Dekker, New York, 2001.
  2. Clément, Ph. ; Londen, S.-O. On the sum of fractional derivatives and $m$-accretive operators. Partial differential equations (Han-sur-Lesse, 1993), 91--100, Math. Res., 82, Akademie-Verlag, Berlin, 1994.
  3. Londen, Stig-Olof On a nonlinear integrodifferential equation of parabolic type. International Conference on Differential Equations, Vol. 1, 2 (Barcelona, 1991), 699--702, World Sci. Publ., River Edge, NJ, 1993.
  4. Londen, Stig-Olof On a nonlinear hyperbolic integrodifferential equation with singular kernel. Semigroup theory and evolution equations (Delft, 1989), 325--336, Lecture Notes in Pure and Appl. Math., 135, Dekker, New York, 1991.
  5. Londen, Stig-Olof On some singular convolution integrals. Delft Progr. Rep. 10 (1985), no. 1, 84--87.
  6. Londen, S.-O. Asymptotic estimates for resolvents of some integral equations. Infinite-dimensional systems (Retzhof, 1983), 139--146, Lecture Notes in Math., 1076, Springer, Berlin, 1984.
  7. Londen, S.-O. ; Nohel, J. A. A nonlinear Volterra integro-differential equation occurring in heat flow. Trends in theory and practice of nonlinear differential equations (Arlington, Tex., 1982), 331--337, Lecture Notes in Pure and Appl. Math., 90, Dekker, New York, 1984.
  8. Londen, Stig-Olof On Volterra equations with locally finite measures and $L^{\infty }$-perturbations. Volterra and functional-differential equations (Blacksburg, Va., 1981), 79--89, Lecture Notes in Pure and Appl. Math., 81, Dekker, New York, 1982.
  9. Londen, Stig-Olof On the asymptotics of a nonlinear scalar Volterra integro-differential equation. Volterra equations (Proc. Helsinki Sympos. Integral Equations, Otaniemi, 1978), pp. 149--172, Lecture Notes in Math., 737, Springer, Berlin, 1979.
  10. Londen, Stig-Olof Volterra equations on a Hilbert space. Ordinary and partial differential equations (Proc. Conf., Univ. Dundee, Dundee, 1974), pp. 406--410. Lecture Notes in Math., Vol. 415, Springer, Berlin, 1974.
  11. Londen, Stig-Olof On a nonlinear retarded differential-difference equation. I, II. Soc. Sci. Fenn. Comment. Phys.-Math. 40 (1970), 47--63; ibid. 40 (1970), 97--100.
  12. Londen, Stig-Olof On some nonlinear Volterra equations. Ann. Acad. Sci. Fenn. Ser. A VI No. 317 (1969), 74 pp.
  13. Londen, Stig-Olof On a nonlinear Volterra integrodifferential equation. Soc. Sci. Fenn. Comment. Phys.-Math. 38 (1969), 5--11.
  14. Londen, Stig-Olof On a Volterra integrodifferential equation. Soc. Sci. Fenn. Comment. Phys.-Math. 38 (1969), 1--4.