1. The Burgers’ equation with stochastic transport: shock formation, local and global existence of smooth solutions

   • Diego Alonso-Orán
   • Aythami Bethencourt de León
   • So Takao

   OriginalPaper Open access 08 November 2019 Article: 57

   

2. Critical exponent for semi-linear wave equations with double damping terms in exterior domains

   • Marcello D’Abbicco
   • Ryo Ikehata
   • Hiroshi Takeda

   OriginalPaper 07 November 2019 Article: 56

3. Profile decomposition in Sobolev spaces of non-compact manifolds

   • Kunnath Sandeep
   • Cyril Tintarev

   OriginalPaper 31 October 2019 Article: 55

4. Nonlocal conservation laws with time delay

   • Alexander Keimer
   • Lukas Pflug

   OriginalPaper 30 October 2019 Article: 54

   

5. Stationary wave profiles for nonlocal particle models of traffic flow on rough roads

   • Jereme Chien
   • Wen Shen

   OriginalPaper 29 October 2019 Article: 53

   

6. Homogenization results for a class of parabolic equations with a non-local interface condition via time-periodic unfolding

   • M. Amar
   • D. Andreucci
   • C. Timofte

   OriginalPaper 29 October 2019 Article: 52

   

7. Exponential decay of quasilinear Maxwell equations with interior conductivity

   • Irena Lasiecka
   • Michael Pokojovy
   • Roland Schnaubelt

   OriginalPaper 29 October 2019 Article: 51

8. The Strichartz estimates for the damped wave equation and the behavior of solutions for the energy critical nonlinear equation

   • Takahisa Inui

   OriginalPaper 28 October 2019 Article: 50

   

9. An application of a global lifting method for homogeneous Hörmander vector fields to the Gibbons conjecture

   • Stefano Biagi

   OriginalPaper 26 October 2019 Article: 49

10. Does repulsion-type directional preference in chemotactic migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes equations?

    • Michael Winkler

    OriginalPaper 26 October 2019 Article: 48

11. Well-posedness for a perturbation of the KdV equation

    • X. Carvajal
    • L. Esquivel

    OriginalPaper 26 October 2019 Article: 47

12. Weak differentiability of the control-to-state mapping in a parabolic equation with hysteresis

    • Martin Brokate
    • Klemens Fellner
    • Matthias Lang-Batsching

    OriginalPaper 26 October 2019 Article: 46

13. Harnack inequalities and qualitative properties for some quasilinear elliptic equations

    • Luigi Montoro

    OriginalPaper 15 October 2019 Article: 45

14. Uniqueness structure of weakly coupled systems of ergodic problems of Hamilton–Jacobi equations

    • Kengo Terai

    OriginalPaper 14 October 2019 Article: 44

15. Large Prandtl number asymptotics in randomly forced turbulent convection

    • Juraj Földes
    • Nathan E. Glatt-Holtz
    • Geordie Richards

    OriginalPaper 10 October 2019 Article: 43

16. Large solutions of fully nonlinear equations: existence and uniqueness

    • Ahmed Mohammed
    • Antonio Vitolo

    OriginalPaper 30 September 2019 Article: 42

17. Scattering threshold for the focusing Choquard equation

    • Tarek Saanouni

    OriginalPaper 25 September 2019 Article: 41