The operator square root of the Laplacian $(-\lap)^{1/2}$ can be obtained from the harmonic extension problem to the upper half space as the operator that maps the Dirichlet boundary condition to the Neumann condition. In this paper we obtain similar characterizations for general fractional powers of the Laplacian and other integro-differential operators. From those characterizations…
Communications in Partial Differential Equations Template
Write in a clean editor, then format for Communications in Partial Differential Equations in one click — DocuGuru applies the official Taylor & Francis template with numbered references and exports a submission-ready PDF plus the editable LaTeX source. Free to start.
About the Communications in Partial Differential Equations format
Communications in Partial Differential Equations is a peer-reviewed journal published by Taylor & Francis, covering Advanced Mathematical Modeling in Engineering, Nonlinear Partial Differential Equations, Advanced Mathematical Physics Problems. Over its lifetime it has published 3,325 papers, which have received 115,950 citations.
| Publisher | Taylor & Francis |
|---|---|
| Reference style | Numbered (Vancouver/NLM) Numbered — [1], [2] in the text 1. Smith A, Jones B, Lee C. A representative article title. Communications in Partial Differential Equations. 2023;12(3):45–58.
Formats any DOI in Communications in Partial Differential Equations style. No sign-up. |
| Publishes research in | Advanced Mathematical Modeling in Engineering Nonlinear Partial Differential Equations Advanced Mathematical Physics Problems Numerical methods in inverse problems Navier-Stokes equation solutions |
| ISSN | 0360-5302 |
| Citation impact (2-yr) | 1.97 |
| h-index | 142 |
| i10-index | 1,947 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.tandfonline.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Communications in Partial Differential Equations per year
Citation impact of Communications in Partial Differential Equations by publication year
Citations each year’s papers have accumulated so far — the most recent years are still building up.
Most-cited papers in Communications in Partial Differential Equations
We show that the porous medium equation has a gradient flow structure which is both physically and mathematically natural. In order to convince the reader that it is mathematically natural, we show that the time asymptotic behavior can be easily understood in this framework. We use the intuition and the calculus of Riemannian geometry to…
(1982). The local regularity of solutions of degenerate elliptic equations. Communications in Partial Differential Equations: Vol. 7, No. 1, pp. 77-116.
We derive a priori bounds for positive solutions of the non-linear elliptic boundary value problem where Ω is a bounded domain in R n. Our proof is by contradiction and uses a scaling (“blow up”) argument reminiscent to that used in the theory of Minimal Surfaces. This procedure reduces the problem of a priori bounds…
We consider nonnegative solutions of the Neumann boundary value problem for the chemotaxis system in a smooth bounded convex domain Ω ⊂ ℝ n , n ≥ 1, where τ > 0, χ ∈ ℝ and f is a smooth function generalizing the logistic source It is shown that if μ is sufficiently large then…