Prof. Dr. Ingo Frank Witt

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  • 2021 | Journal Article
    ​ ​On the global weak solution problem of semilinear generalized Tricomi equations, II​
    He, D.; Witt, I. F.   & Yin, H.​ (2021) 
    Pacific Journal of Mathematics, 314(1) pp. 29​-80​.​ DOI: https://doi.org/10.2140/pjm.2021.314.29 
    ​Details  DOI 
  • 2020 | Journal Article
    ​ ​On the strauss index of semilinear tricomi equation​
    He, D.; Witt, I.   & Yin, H.​ (2020) 
    Communications on Pure and Applied Analysis, 19(10) pp. 4817​-4838​.​ DOI: https://doi.org/10.3934/cpaa.2020213 
    ​Details  DOI 
  • 2019 | Monograph
    ​ ​Open Quantum Systems: ​A Mathematical Perspective​ ​
    Bahns, D. ; Pohl, A.& Witt, I. F. ​ (2019)
    Cham​: Springer International Publishing AG.
    ​Details 
  • 2018 | Journal Article
    ​ ​Discrete Morse flow for Ricci flow and porous medium equation​
    Ma, L. & Witt, I. ​ (2018) 
    Communications in Nonlinear Science and Numerical Simulation, 59 pp. 158​-164​.​ DOI: https://doi.org/10.1016/j.cnsns.2017.11.002 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Global existence and blowup of smooth solutions of 3-D potential equations with time-dependent damping​
    Hou, F.; Witt, I.   & Yin, H.​ (2018) 
    Pacific Journal of Mathematics, 292(2) pp. 389​-426​.​ DOI: https://doi.org/10.2140/pjm.2018.292.389 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Global Multidimensional Shock Waves of 2-Dimensional and 3-Dimensional Unsteady Potential Flow Equations​
    Li, J.; Witt, I.   & Yin, H.​ (2018) 
    SIAM Journal on Mathematical Analysis, 50(1) pp. 933​-1009​.​ DOI: https://doi.org/10.1137/17M1114661 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Small data solutions of 2-D quasilinear wave equations under null conditions​
    Liu, Y. & Witt, I. F. ​ (2018) 
    Acta Mathematica Scientia, 38(1) pp. 125​-150​.​ DOI: https://doi.org/10.1016/S0252-9602(17)30121-2 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Minimal regularity solutions of semilinear generalized Tricomi equations​
    Ruan, Z.; Witt, I.   & Yin, H.​ (2018) 
    Pacific Journal of Mathematics, 296(1) pp. 181​-226​.​ DOI: https://doi.org/10.2140/pjm.2018.296.181 
    ​Details  DOI  arXiv 
  • 2017 | Journal Article
    ​ ​BLOWUP TIME AND BLOWUP MECHANISM OF SMALL DATA SOLUTIONS TO GENERAL 2-D QUASILINEAR WAVE EQUATIONS​
    Ding, B.; Witt, I. F.   & Yin, H.​ (2017) 
    Communications on Pure and Applied Analysis, 16(3) pp. 719​-744​.​ DOI: https://doi.org/10.3934/cpaa.2017035 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​On the global solution problem for semilinear generalized Tricomi equations, I​
    He, D.; Witt, I. F.   & Yin, H.​ (2017) 
    Calculus of Variations and Partial Differential Equations, 56(2) art. 21​.​ DOI: https://doi.org/10.1007/s00526-017-1125-9 
    ​Details  DOI  WoS 
  • 2017 | Journal Article
    ​ ​On semilinear Tricomi equations with critical exponents or in two space dimensions​
    He, D.; Witt, I.   & Yin, H.​ (2017) 
    Journal of Differential Equations, 263(12) pp. 8102​-8137​.​ DOI: https://doi.org/10.1016/j.jde.2017.08.033 
    ​Details  DOI 
  • 2016 | Anthology
    ​ ​Quantization, PDEs, and Geometry: ​The Interplay of Analysis and Mathematical Physics​ ​(Vol. 251) 
    Bahns, D. ; Bauer, W.& Witt, I. ​ (Eds.) (2016)
    Cham: ​Birkhäuser. DOI: https://doi.org/10.1007/978-3-319-22407-7 
    ​Details  DOI 
  • 2016 | Preprint
    ​ ​On the global solution problem of semilinear generalized Tricomi equations, II​
    He, D.; Witt, I.  & Yin, H.​ (2016)
    ​Details  arXiv 
  • 2015 | Preprint
    ​ ​On the global solution problem for semilinear generalized Tricomi equations, I​
    He, D.; Witt, I.  & Yin, H.​ (2015). DOI: https://doi.org/10.1007/s00526-017-1125-9 
    ​Details  DOI  arXiv 
  • 2015 | Journal Article
    ​ ​On the existence of low regularity solutions to semilinear generalized Tricomi equations in mixed type domains​
    Ruan, Z.; Witt, I.   & Yin, H.​ (2015) 
    Journal of Differential Equations, 259(12) pp. 7406​-7462​.​ DOI: https://doi.org/10.1016/j.jde.2015.08.025 
    ​Details  DOI  WoS  arXiv 
  • 2015 | Preprint
    ​ ​On the global existence and blowup of smooth solutions of 3-D compressible Euler equations with time-depending damping​
    Hou, F.; Witt, I.  & Yin, H.​ (2015)
    ​Details  arXiv 
  • 2015 | Journal Article
    ​ ​On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data​
    Ruan, Z.; Witt, I. F.   & Yin Huicheng, Y. H.​ (2015) 
    Communications in Contemporary Mathematics, 17(3) art. 1450028​.​ DOI: https://doi.org/10.1142/S021919971450028X 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​The existence and singularity structures of low regularity solutions to higher order degenerate hyperbolic equations​
    Ruan, Z.; Witt, I.   & Yin, H.​ (2014) 
    Journal of Differential Equations, 256(2) pp. 407​-460​.​ DOI: https://doi.org/10.1016/j.jde.2013.09.007 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​On the Global Existence and Stability of a Multi-Dimensional Supersonic Conic Shock Wave​
    Jun, L.; Witt, I.   & Huicheng, Y.​ (2014) 
    Communications in Mathematical Physics, 329(2) pp. 609​-640​.​ DOI: https://doi.org/10.1007/s00220-014-1974-4 
    ​Details  DOI  WoS 
  • 2013 | Preprint
    ​ ​Blowup of smooth solutions for general 2-D quasilinear wave equations with small initial data​
    Ding, B.; Witt, I.  & Yin, H.​ (2013)
    ​Details  arXiv 
  • 2013 | Preprint
    ​ ​The existence and singularity structure of low regularity solutions of higher-order degenerate hyperbolic equations​
    Ruan, Z.; Witt, I.  & Yin, H.​ (2013)
    ​Details  arXiv 
  • 2013 | Preprint
    ​ ​Global multidimensional shock waves for 2-D and 3-D unsteady potential flow equations​
    Li, J.; Witt, I.  & Yin, H.​ (2013)
    ​Details  arXiv 
  • 2012 | Preprint
    ​ ​On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data​
    Ruan, Z.; Witt, I.  & Yin, H.​ (2012). DOI: https://doi.org/10.1142/S021919971450028X 
    ​Details  DOI  arXiv 
  • 2012 | Preprint
    ​ ​Discrete Morse flow for Ricci flow and Porous Media equation​
    Ma, L.& Witt, I. ​ (2012)
    ​Details  arXiv 
  • 2012 | Preprint
    ​ ​On the lifespan of and the blowup mechanism for smooth solutions to a class of 2-D nonlinear wave equations with small initial data​
    Ding, B.; Witt, I.  & Yin, H.​ (2012)
    ​Details  arXiv 
  • 2011 | Preprint
    ​ ​On the global existence and stability of a three-dimensional supersonic conic shock wave​
    Li, J.; Witt, I.  & Yin, H.​ (2011)
    ​Details  arXiv 
  • 2011 | Preprint
    ​ ​Stability of cigar soliton​
    Ma, L.& Witt, I. ​ (2011)
    ​Details  arXiv 
  • 2007 | Journal Article
    ​ ​Green's formulas for cone differential operators​
    Witt, I. ​ (2007) 
    Transactions of the American Mathematical Society, 359(12) pp. 5669​-5696​.​ DOI: https://doi.org/10.1090/s0002-9947-07-04082-2 
    ​Details  DOI 
  • 2005 | Journal Article
    ​ ​ENERGY ESTIMATES FOR WEAKLY HYPERBOLIC SYSTEMS OF THE FIRST ORDER​
    DREHER, M. & Witt, I. ​ (2005) 
    Communications in Contemporary Mathematics, 07(06) pp. 809​-837​.​ DOI: https://doi.org/10.1142/s0219199705001969 
    ​Details  DOI 

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