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Title of Journal: Arch Math

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Abbravation: Archiv der Mathematik

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SP Birkhäuser Verlag Basel

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DOI

10.1016/0002-9343(82)90436-3

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ISSN

1420-8938

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Gradient blowup rate for a viscous Hamilton–Jacobi

Authors: Zhengce Zhang
Publish Date: 2013/04/10
Volume: 100, Issue: 4, Pages: 361-367
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Abstract

This paper is concerned with the gradient blowup rate for the onedimensional pLaplacian parabolic equation u t=u xp2 u x x +u xq with q  p  2 for which the spatial derivative of solutions becomes unbounded in finite time while the solutions themselves remain bounded We establish the blowup rate estimates of lower and upper bounds and show that in this case the blowup rate does not match the selfsimilar one

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  1. On an asymptotically autonomous system with Tikhonov type regularizing term
  2. Inverse positivity for general Robin problems on Lipschitz domains
  3. Gromov hyperbolicity of negatively curved Finsler manifolds
  4. Courbes planes à nœuds et à cusps
  5. On one-sided strong Arens irregularity
  6. Null controllability with constraints on the state for the linear Korteweg-de Vries equation
  7. Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions
  8. A problem of Carlitz and its generalizations
  9. Distribution of the coefficients of modular forms and the partition function
  10. The abstract Dirichlet problem for continuous vector-valued functions
  11. Stability of volume comparison for complex convex bodies
  12. Lower bounds on the number of maximal subgroups in a finite group
  13. Some properties of Gurarii's modulus of convexity
  14. On the generalization of Faltings’ Annihilator Theorem
  15. On the identities defining a quadratic Jordan division algebra
  16. Abelian Carter subgroups in finite permutation groups
  17. On trace ideal weighted composition operators on weighted Fock spaces
  18. On curves with all Weierstrass points of maximal weight
  19. Bounds for the probability of generating the symmetric and alternating groups
  20. A characterization of the  -genus as a linear combination of Pontrjagin numbers
  21. Complemented ideals in $$A({\mathbb{R}}^{d})$$ of algebraic curves
  22. Power-free values of polynomials
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