diff --git a/src/ol/View.js b/src/ol/View.js
index 67c63fa475..f71ae3625f 100644
--- a/src/ol/View.js
+++ b/src/ol/View.js
@@ -97,6 +97,9 @@ import {easeOut} from './easing';
  * view, in other words, nothing outside of this extent can be visible on the map
  * @property {boolean} [constrainOnlyCenter] If true, the extent
  * constraint will only apply to the center and not the whole view.
+ * @property {boolean} [smoothExtentConstraint] If true, the extent
+ * constraint will be applied smoothly, i. e. allow the view to go slightly outside
+ * of the given `extent`. Default is true.
  * @property {number} [maxResolution] The maximum resolution used to determine
  * the resolution constraint. It is used together with `minResolution` (or
  * `maxZoom`) and `zoomFactor`. If unspecified it is calculated in such a way
@@ -616,6 +619,10 @@ class View extends BaseObject {
     if (more && this.updateAnimationKey_ === undefined) {
       this.updateAnimationKey_ = requestAnimationFrame(this.updateAnimations_);
     }
+
+    if (!this.getAnimating()) {
+      this.resolveConstraints_();
+    }
   }
 
   /**
@@ -1094,6 +1101,16 @@ class View extends BaseObject {
     return !!this.getCenter() && this.getResolution() !== undefined;
   }
 
+  /**
+   * Adds relative coordinates to the center of the view.
+   * @param {import("./coordinate.js").Coordinate} deltaCoordinates Relative value to add.
+   * @api
+   */
+  adjustCenter(deltaCoordinates) {
+    const center = this.targetCenter_;
+    this.setCenter([center[0] + deltaCoordinates[0], center[1] + deltaCoordinates[1]]);
+  }
+
   /**
    * Rotate the view around a given coordinate.
    * @param {number} rotation New rotation value for the view.
@@ -1196,7 +1213,7 @@ class View extends BaseObject {
    * @private
    */
   resolveConstraints_(opt_duration, opt_resolutionDirection) {
-    const duration = opt_duration || 250;
+    const duration = opt_duration || 200;
     const direction = opt_resolutionDirection || 0;
 
     const newRotation = this.constraints_.rotation(this.targetRotation_);
@@ -1206,6 +1223,7 @@ class View extends BaseObject {
 
     if (this.getResolution() !== newResolution ||
       this.getRotation() !== newRotation ||
+      !this.getCenter() ||
       !equals(this.getCenter(), newCenter)) {
 
       if (this.getAnimating()) {
@@ -1221,7 +1239,7 @@ class View extends BaseObject {
       });
     }
   }
-
+  
   /**
    * Notify the View that an interaction has started.
    * @api
@@ -1291,7 +1309,8 @@ function animationCallback(callback, returnValue) {
  */
 export function createCenterConstraint(options) {
   if (options.extent !== undefined) {
-    return createExtent(options.extent, options.constrainOnlyCenter);
+    return createExtent(options.extent, options.constrainOnlyCenter,
+      options.smoothExtentConstraint !== undefined ? options.smoothExtentConstraint : true);
   } else {
     return centerNone;
   }
diff --git a/src/ol/centerconstraint.js b/src/ol/centerconstraint.js
index eda8973ddd..cb57c34cec 100644
--- a/src/ol/centerconstraint.js
+++ b/src/ol/centerconstraint.js
@@ -12,9 +12,11 @@ import {clamp} from './math.js';
 /**
  * @param {import("./extent.js").Extent} extent Extent.
  * @param {boolean} onlyCenter If true, the constraint will only apply to the view center.
+ * @param {boolean} smooth If true, the view will be able to go slightly out of the given extent
+ * (only during interaction and animation).
  * @return {Type} The constraint.
  */
-export function createExtent(extent, onlyCenter) {
+export function createExtent(extent, onlyCenter, smooth) {
   return (
     /**
      * @param {import("./coordinate.js").Coordinate|undefined} center Center.
@@ -27,11 +29,23 @@ export function createExtent(extent, onlyCenter) {
       if (center) {
         let viewWidth = onlyCenter ? 0 : size[0] * resolution;
         let viewHeight = onlyCenter ? 0 : size[1] * resolution;
+        const minX = extent[0] + viewWidth / 2;
+        const maxX = extent[2] - viewWidth / 2;
+        const minY = extent[1] + viewHeight / 2;
+        const maxY = extent[3] - viewHeight / 2;
+        let x = clamp(center[0], minX, maxX);
+        let y = clamp(center[1], minY, maxY);
+        let ratio = 30 * resolution;
 
-        return [
-          clamp(center[0], extent[0] + viewWidth / 2, extent[2] - viewWidth / 2),
-          clamp(center[1], extent[1] + viewHeight / 2, extent[3] - viewHeight / 2)
-        ];
+        // during an interaction, allow some overscroll
+        if (opt_isMoving && smooth) {
+          x += -ratio * Math.log(1 + Math.max(0, minX - center[0]) / ratio) +
+            ratio * Math.log(1 + Math.max(0, center[0] - maxX) / ratio);
+          y += -ratio * Math.log(1 + Math.max(0, minY - center[1]) / ratio) +
+            ratio * Math.log(1 + Math.max(0, center[1] - maxY) / ratio);
+        }
+
+        return [x, y];
       } else {
         return undefined;
       }
diff --git a/src/ol/interaction/DragPan.js b/src/ol/interaction/DragPan.js
index 6f18683a40..6bf2fb820f 100644
--- a/src/ol/interaction/DragPan.js
+++ b/src/ol/interaction/DragPan.js
@@ -81,15 +81,15 @@ class DragPan extends PointerInteraction {
         this.kinetic_.update(centroid[0], centroid[1]);
       }
       if (this.lastCentroid) {
-        const deltaX = this.lastCentroid[0] - centroid[0];
-        const deltaY = centroid[1] - this.lastCentroid[1];
+        const delta = [
+          this.lastCentroid[0] - centroid[0],
+          centroid[1] - this.lastCentroid[1]
+        ];
         const map = mapBrowserEvent.map;
         const view = map.getView();
-        let center = [deltaX, deltaY];
-        scaleCoordinate(center, view.getResolution());
-        rotateCoordinate(center, view.getRotation());
-        addCoordinate(center, view.getCenter());
-        view.setCenter(center);
+        scaleCoordinate(delta, view.getResolution());
+        rotateCoordinate(delta, view.getRotation());
+        view.adjustCenter(delta);
       }
     } else if (this.kinetic_) {
       // reset so we don't overestimate the kinetic energy after
diff --git a/test/spec/ol/view.test.js b/test/spec/ol/view.test.js
index fcc5cd64d8..796e320386 100644
--- a/test/spec/ol/view.test.js
+++ b/test/spec/ol/view.test.js
@@ -42,7 +42,7 @@ describe('ol.View', function() {
         });
       });
 
-      describe('with extent option', function() {
+      describe('with extent option and center only', function() {
         it('gives a correct center constraint function', function() {
           const options = {
             extent: [0, 0, 1, 1],
@@ -55,6 +55,26 @@ describe('ol.View', function() {
         });
       });
 
+      describe('with extent option', function() {
+        it('gives a correct center constraint function', function() {
+          const options = {
+            extent: [0, 0, 1, 1]
+          };
+          const fn = createCenterConstraint(options);
+          const res = 1;
+          const size = [0.15, 0.1];
+          expect(fn([0, 0], res, size)).to.eql([0.075, 0.05]);
+          expect(fn([0.5, 0.5], res, size)).to.eql([0.5, 0.5]);
+          expect(fn([10, 10], res, size)).to.eql([0.925, 0.95]);
+
+          const overshootCenter = fn([10, 10], res, size, true);
+          expect(overshootCenter[0] > 0.925).to.eql(true);
+          expect(overshootCenter[1] > 0.95).to.eql(true);
+          expect(overshootCenter[0] < 9).to.eql(true);
+          expect(overshootCenter[1] < 9).to.eql(true);
+        });
+      });
+
     });
 
     describe('create resolution constraint', function() {