The Journal of Evolution Equations (JEE) publishes high-quality, peer-reviewed papers on equations dealing with time dependent systems and ranging from abstract theory to concrete applications. Research articles should contain new and important results. Survey articles on recent developments are also considered as important contributions to the field. Particular topics covered by the Journal are: Linear and Nonlinear Semigroups Parabolic and Hyperbolic Partial Differential Equations Reaction Diffusion Equations Deterministic and Stochastic Control Systems Transport and Population Equations Volterra Equations Delay Equations Stochastic Processes and Dirichlet Forms Maximal Regularity and Functional Calculi Asymptotics and Qualitative Theory of Linear and Nonlinear Evolution Equations Evolution Equations in Mathematical Physics Elliptic Operators Bibliographic Data J. Evol. Equ. First published in 2001 1 volume per year, 4 issues per volume approx. 1200 pages per vol. Format: 15.5 x 23.5 cm ISSN 1424-3199 (print) ISSN 1424-3202 (electronic) AMS Mathematical Citation Quotient (MCQ): 0.82 (2018)
Journal of Evolution Equations
Description
Identifiers
ISSN | 1424-3199 |
e-ISSN | 1424-3202 |
DOI | 10.1007/28.1424-3202 |
Publisher
Springer International Publishing
Additional information
Data set: Springer
Articles
Journal of Evolution Equations > 2019 > 19 > 4 > 1149-1166
It is well known that the bounded solution u(t, x) of the heat equation posed in $$\mathbb R^N \times (0,T)$$ R N × ( 0 , T ) for any continuous initial condition becomes Lipschitz continuous as soon as $$t>0,$$ t > 0 , even if the initial datum is not Lipschitz continuous. We investigate this Lipschitz regularization for both strictly and degenerate parabolic equations of...
Journal of Evolution Equations > 2019 > 19 > 4 > 965-996
In this paper, we develop a functional analytical theory for establishing that mild solutions of first-order Cauchy problems involving homogeneous operators of order zero are strong solutions; in particular, the first-order time derivative satisfies a global regularity estimate depending only on the initial value and the positive time. We apply those results to the Cauchy problem associated with the...
Journal of Evolution Equations > 2019 > 19 > 4 > 1041-1069
Consider the following Kolmogorov-type hypoelliptic operator $$\begin{aligned} {{\mathscr {L}}}_t := {\sum _{j=2}^n}x_j\cdot \nabla _{x_{j-1}}+\mathrm {tr}(a_t \cdot \nabla ^2_{x_n}) \end{aligned}$$ L t : = ∑ j = 2 n x j · ∇ x j - 1 + tr ( a t · ∇ x n 2 ) on $${{\mathbb {R}}}^{nd}$$ R nd , where $$n\geqslant 2$$ n ⩾ 2 , $$d\geqslant 1$$ d...